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[Tutorialsplanet.NET] Udemy - Linear Algebra and Geometry 1
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文件列表
10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.mp4
650.4 MB
05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.mp4
600.0 MB
04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.mp4
594.3 MB
04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.mp4
585.4 MB
04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.mp4
545.8 MB
05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.mp4
538.6 MB
09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.mp4
487.8 MB
04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.mp4
480.4 MB
10 Determinants/033 Problem 14_ Vandermonde determinant.mp4
478.6 MB
08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.mp4
458.8 MB
04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.mp4
426.2 MB
08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.mp4
426.0 MB
04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.mp4
422.1 MB
08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.mp4
405.9 MB
04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.mp4
394.7 MB
09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.mp4
365.5 MB
07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.mp4
360.0 MB
08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.mp4
358.4 MB
10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.mp4
355.3 MB
09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.mp4
351.1 MB
10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.mp4
348.0 MB
04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.mp4
330.6 MB
04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.mp4
327.9 MB
04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.mp4
327.6 MB
07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.mp4
324.6 MB
10 Determinants/022 Determinant equations, Problem 5.mp4
316.7 MB
08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.mp4
303.5 MB
06 Matrices and matrix operations/013 Various matrix operations, Problem 8.mp4
301.1 MB
07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.mp4
296.1 MB
09 Linear systems and matrices/005 Matrix equations, Problem 3.mp4
291.7 MB
05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).mp4
290.7 MB
05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).mp4
283.7 MB
10 Determinants/031 Problem 12, another large determinant.mp4
281.0 MB
04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.mp4
270.6 MB
08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.mp4
262.5 MB
10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.mp4
260.6 MB
06 Matrices and matrix operations/012 Various matrix operations, Problem 7.mp4
250.4 MB
10 Determinants/027 Cramer’s rule, Problem 9.mp4
243.1 MB
07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.mp4
234.2 MB
10 Determinants/010 Elementary column operations.mp4
218.2 MB
10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.mp4
216.8 MB
05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.mp4
216.2 MB
08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.mp4
214.7 MB
10 Determinants/032 Problem 13_ a trigonometric determinant.mp4
212.9 MB
10 Determinants/028 Inverse matrix, an explicit formula.mp4
209.6 MB
04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.mp4
201.3 MB
10 Determinants/020 Properties of determinants, Problem 3.mp4
199.7 MB
04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.mp4
191.2 MB
10 Determinants/029 Invertible matrices, Problem 10.mp4
188.8 MB
04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.mp4
186.8 MB
10 Determinants/021 Determinant equations, Problem 4.mp4
184.1 MB
11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.mp4
180.7 MB
02 Some basic concepts/007 Linear combinations.mp4
173.6 MB
07 Inverses; Algebraic properties of matrices/007 Two distributive laws.mp4
171.6 MB
10 Determinants/016 Evaluating determinants by row or column reduction.mp4
164.1 MB
08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.mp4
163.5 MB
01 Introduction to the course/001 Introduction.mp4
160.8 MB
08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.mp4
155.4 MB
04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.mp4
155.3 MB
05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.mp4
151.0 MB
11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.mp4
150.2 MB
07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.mp4
146.2 MB
09 Linear systems and matrices/002 Two more statements in our important theorem.mp4
143.3 MB
11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.mp4
138.2 MB
07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.mp4
135.6 MB
10 Determinants/019 Properties of determinants, Problem 2.mp4
130.2 MB
02 Some basic concepts/009 Linear transformations.mp4
129.6 MB
04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.mp4
129.0 MB
02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.mp4
128.5 MB
07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.mp4
125.6 MB
07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.mp4
124.4 MB
04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.mp4
117.7 MB
06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.mp4
116.0 MB
11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.mp4
113.7 MB
11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.mp4
110.3 MB
10 Determinants/003 Geometrical interpretations of determinants.mp4
109.9 MB
10 Determinants/005 Definition of determinants.mp4
106.9 MB
10 Determinants/018 Properties of determinants, Problem 1.mp4
105.9 MB
11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.mp4
104.9 MB
05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.mp4
98.6 MB
10 Determinants/012 How to compute 3-by-3 determinants from the definition.mp4
86.4 MB
10 Determinants/014 Determinant of transposed matrix; row operations.mp4
80.0 MB
06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.mp4
79.5 MB
10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.mp4
75.7 MB
08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.mp4
75.0 MB
04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.mp4
74.2 MB
02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.mp4
73.8 MB
10 Determinants/004 Geometrically about the determinant of a product.mp4
72.0 MB
07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.mp4
71.9 MB
10 Determinants/001 Why the determinants are important.mp4
71.8 MB
08 Elementary matrices and a method for finding A inverse/012 A really important theorem.mp4
70.3 MB
04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.mp4
70.1 MB
02 Some basic concepts/012 Pythagorean Theorem and distance between points.mp4
69.8 MB
02 Some basic concepts/003 Normal equations of planes in the 3-space.mp4
67.0 MB
02 Some basic concepts/006 Vector addition and vector scaling.mp4
66.6 MB
03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.mp4
66.3 MB
02 Some basic concepts/010 Matrix—vector multiplication.mp4
63.1 MB
02 Some basic concepts/011 Rules for computations with real numbers.mp4
62.4 MB
03 Systems of linear equations; building up your geometrical intuition/002 Solution set.mp4
61.4 MB
08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.mp4
60.3 MB
06 Matrices and matrix operations/005 Matrix scaling, Problem 2.mp4
60.0 MB
10 Determinants/011 How to compute 2-by-2 determinants from the definition.mp4
59.3 MB
02 Some basic concepts/004 Vectors.mp4
58.9 MB
11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.mp4
58.0 MB
06 Matrices and matrix operations/001 Introduction to matrices.mp4
57.8 MB
02 Some basic concepts/014 Cosine Rule.mp4
57.7 MB
10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.mp4
57.4 MB
03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.mp4
56.8 MB
03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.mp4
55.2 MB
06 Matrices and matrix operations/002 Different types of matrices.mp4
54.0 MB
06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.mp4
52.4 MB
02 Some basic concepts/005 Scalars.mp4
50.6 MB
10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.mp4
50.2 MB
04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.mp4
50.2 MB
07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.mp4
46.1 MB
10 Determinants/030 Problem 11, a large determinant.mp4
45.2 MB
10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.mp4
45.1 MB
03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.mp4
44.7 MB
07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.mp4
43.8 MB
02 Some basic concepts/008 Matrices.mp4
43.7 MB
06 Matrices and matrix operations/007 Matrix multiplication, how to do.mp4
43.6 MB
03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.mp4
42.9 MB
04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.mp4
40.6 MB
03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.mp4
39.5 MB
10 Determinants/023 Determinant equations, Problem 6.mp4
38.8 MB
04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.mp4
38.0 MB
06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.mp4
37.0 MB
08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.mp4
36.8 MB
01 Introduction to the course/001 Slides Introduction to the course.pdf
36.5 MB
03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.mp4
35.3 MB
06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.mp4
34.6 MB
07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.mp4
33.6 MB
02 Some basic concepts/013 Sine, cosine, and pythagorean identity.mp4
33.3 MB
10 Determinants/017 Determinant of inverse.mp4
33.2 MB
03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.mp4
32.7 MB
04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.mp4
31.6 MB
10 Determinants/024 Determinant equations, Problem 7.mp4
31.3 MB
06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.mp4
28.6 MB
03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.mp4
28.3 MB
07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.mp4
28.2 MB
07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.mp4
28.1 MB
03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.mp4
23.5 MB
06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.mp4
21.2 MB
07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.mp4
20.2 MB
07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.mp4
18.4 MB
10 Determinants/109 Slides Definition of determinants.pdf
5.4 MB
02 Some basic concepts/009 Slides Matrices.pdf
5.0 MB
07 Inverses; Algebraic properties of matrices/078 Slides There is no cancellation law for matrix multiplication.pdf
4.1 MB
10 Determinants/111 Slides Conclusion 2 What happens when one column is a linear combination of the other columns.pdf
4.0 MB
10 Determinants/107 Slides Geometrical interpretations of determinants.pdf
3.6 MB
08 Elementary matrices and a method for finding A inverse/088 Slides Algorithm for inverse matrices An example.pdf
3.4 MB
08 Elementary matrices and a method for finding A inverse/097 Slides Inverse elementary operations and their matrices.pdf
3.4 MB
10 Determinants/119 Notes Cofactor expansion along columns or rows.pdf
3.1 MB
10 Determinants/110 Slides Conclusion 1 Determinant of matrices with interchanged columns.pdf
3.0 MB
10 Determinants/132 Slides Inverse matrix An explicit formula.pdf
3.0 MB
10 Determinants/119 Slides Cofactor expansion along columns or rows.pdf
2.8 MB
05 Some applications in mathematics and natural sciences/054 Notes Problem 4 Calculus.pdf
2.7 MB
10 Determinants/122 Slides Properties of determinants Problem 1.pdf
2.6 MB
03 Systems of linear equations; building up your geometrical intuition/017 Slides Solution set.pdf
2.6 MB
06 Matrices and matrix operations/062 Slides Matrix multiplication with geometrical interpretation.pdf
2.6 MB
04 Solving systems of linear equations; Gaussian elimination/048 Notes Gaussian elimination Problem 12.pdf
2.6 MB
10 Determinants/137 Notes Problem 14 Vandermonde determinant.pdf
2.5 MB
10 Determinants/124 Slides Properties of determinants Problem 3.pdf
2.4 MB
03 Systems of linear equations; building up your geometrical intuition/024 Slides Possible solution sets of 3 by 3 systems of linear equations.pdf
2.4 MB
09 Linear systems and matrices/103 Notes Determining consistency by elimination Problem 2.pdf
2.4 MB
04 Solving systems of linear equations; Gaussian elimination/049 Notes Gauss Jordan elimination Problem 13.pdf
2.3 MB
10 Determinants/116 Slides How to compute 3 by 3 determinants from the definition.pdf
2.3 MB
02 Some basic concepts/010 Slides Linear transformations.pdf
2.3 MB
05 Some applications in mathematics and natural sciences/053 Notes Problem 3 Calculus.pdf
2.2 MB
03 Systems of linear equations; building up your geometrical intuition/019 Slides Systems of linear equations.pdf
2.2 MB
04 Solving systems of linear equations; Gaussian elimination/047 Notes Gauss Jordan elimination Problem 11.pdf
2.2 MB
04 Solving systems of linear equations; Gaussian elimination/035 Notes Gaussian elimination Problem 3.pdf
2.2 MB
06 Matrices and matrix operations/064 Slides Matrix multiplication Problem 3.pdf
2.2 MB
10 Determinants/108 Slides Geometrically about the determinant of a product.pdf
2.2 MB
04 Solving systems of linear equations; Gaussian elimination/032 Slides The same example solved with matrix operations Coefficient matrix and augmented matrix.pdf
2.1 MB
08 Elementary matrices and a method for finding A inverse/099 Slides Four equivalent statements.pdf
2.1 MB
10 Determinants/129 Slides Invertible matrices Determinant test with a proof Problem 8.pdf
2.1 MB
07 Inverses; Algebraic properties of matrices/080 Slides Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf
2.0 MB
07 Inverses; Algebraic properties of matrices/081 Slides Solving matrix equations Problem 2.pdf
2.0 MB
04 Solving systems of linear equations; Gaussian elimination/043 Notes General formulation of the algorithm in Gauss Jordan elimination.pdf
2.0 MB
04 Solving systems of linear equations; Gaussian elimination/036 Notes Gaussian elimination Problem 4.pdf
2.0 MB
06 Matrices and matrix operations/063 Slides Matrix multiplication how to do.pdf
2.0 MB
08 Elementary matrices and a method for finding A inverse/094 Notes Matrix equations Problem 6.pdf
1.9 MB
10 Determinants/113 Slides Conclusion 4 Determinant of kA for any real k.pdf
1.9 MB
08 Elementary matrices and a method for finding A inverse/091 Slides Matrix equations Problem 3.pdf
1.9 MB
08 Elementary matrices and a method for finding A inverse/092 Slides Matrix equations Problem 4.pdf
1.9 MB
04 Solving systems of linear equations; Gaussian elimination/041 Slides Preparation to the general formulation of the algorithm REF and RREF matrices.pdf
1.9 MB
09 Linear systems and matrices/100 Notes Formally about the number of solutions to systems of linear equations.pdf
1.9 MB
07 Inverses; Algebraic properties of matrices/073 Slides Matrix multiplication is associative.pdf
1.8 MB
10 Determinants/123 Slides Properties of determinants Problem 2.pdf
1.8 MB
04 Solving systems of linear equations; Gaussian elimination/042 Notes How to read solutions from REF and RREF matrices.pdf
1.8 MB
08 Elementary matrices and a method for finding A inverse/095 Notes Matrix inverse Problem 7.pdf
1.8 MB
06 Matrices and matrix operations/057 Slides Introduction to matrices.pdf
1.8 MB
10 Determinants/118 Slides Determinant of transposed matrix Row operations.pdf
1.7 MB
07 Inverses; Algebraic properties of matrices/074 Slides Matrix multiplication is not commutative.pdf
1.7 MB
10 Determinants/130 Slides Cramers rule Proof Example Geometrical interpretation.pdf
1.6 MB
02 Some basic concepts/003 Slides Slope intercept equations of lines in the plane.pdf
1.6 MB
10 Determinants/137 Article-Solved-Problems-Determinants.pdf
1.6 MB
04 Solving systems of linear equations; Gaussian elimination/044 Notes Gauss Jordan elimination Problem 8.pdf
1.5 MB
08 Elementary matrices and a method for finding A inverse/096 Slides Elementary operations and elementary matrices.pdf
1.5 MB
08 Elementary matrices and a method for finding A inverse/087 Notes Inverse matrices Introduction to the algorithm.pdf
1.5 MB
07 Inverses; Algebraic properties of matrices/075 Notes Sometimes commutativity happens Problem 1.pdf
1.5 MB
08 Elementary matrices and a method for finding A inverse/089 Notes Matrix inverse Problem 1.pdf
1.5 MB
05 Some applications in mathematics and natural sciences/055 Notes Problem 5 Chemistry.pdf
1.4 MB
09 Linear systems and matrices/102 Notes Solution of a linear system using A inverse Problem 1.pdf
1.4 MB
10 Determinants/120 Slides Evaluating determinants by row or column reduction.pdf
1.4 MB
07 Inverses; Algebraic properties of matrices/081 Notes Solving matrix equations Problem 2.pdf
1.4 MB
04 Solving systems of linear equations; Gaussian elimination/037 Notes Gaussian elimination Problem 5.pdf
1.4 MB
05 Some applications in mathematics and natural sciences/056 Notes Problem 6 Electrical circuits.pdf
1.4 MB
10 Determinants/111 Notes Conclusion 2 What happens when one column is a linear combination of the other columns.pdf
1.4 MB
03 Systems of linear equations; building up your geometrical intuition/020 Slides Solution sets of systems of linear equations.pdf
1.4 MB
10 Determinants/126 Notes Determinant equations Problem 5.pdf
1.4 MB
10 Determinants/135 Notes Problem 12 Another large determinant.pdf
1.4 MB
06 Matrices and matrix operations/069 Notes Various matrix operations Problem 8.pdf
1.4 MB
06 Matrices and matrix operations/065 Slides Matrix multiplication and systems of equations Problem 4.pdf
1.3 MB
04 Solving systems of linear equations; Gaussian elimination/038 Notes Gaussian elimination Problem 6.pdf
1.3 MB
08 Elementary matrices and a method for finding A inverse/093 Notes Matrix equations Problem 5.pdf
1.3 MB
10 Determinants/121 Slides Determinant of inverse.pdf
1.3 MB
10 Determinants/136 Notes Problem 13 A trigonometric determinant.pdf
1.3 MB
04 Solving systems of linear equations; Gaussian elimination/029 Slides What is Gauss Jordan and Gaussian elimination.pdf
1.3 MB
10 Determinants/131 Notes Cramers rule, Problem 9.pdf
1.3 MB
02 Some basic concepts/011 Slides Matrix vector multiplication.pdf
1.2 MB
10 Determinants/134 Slides Problem 11 A large determinant.pdf
1.2 MB
02 Some basic concepts/008 Slides Linear combinations.pdf
1.2 MB
08 Elementary matrices and a method for finding A inverse/091 Notes Matrix equations Problem 3.pdf
1.2 MB
06 Matrices and matrix operations/060 Slides Matrix scaling with geometrical interpretation.pdf
1.2 MB
05 Some applications in mathematics and natural sciences/052 Notes Problem 2 Calculus.pdf
1.2 MB
10 Determinants/131 Slides Cramers rule, Problem 9.pdf
1.2 MB
10 Determinants/137 Slides Problem 14 Vandermonde determinant.pdf
1.1 MB
07 Inverses; Algebraic properties of matrices/073 Notes Matrix multiplication is associative.pdf
1.1 MB
10 Determinants/115 Slides How to compute 2 by 2 determinants from the definition.pdf
1.1 MB
04 Solving systems of linear equations; Gaussian elimination/031 Slides The same example solved with Gaussian elimination and back-substitution.pdf
1.1 MB
01 Introduction to the course/001 Outline_Linear_Algebra_and_Geometry_1.pdf
1.1 MB
03 Systems of linear equations; building up your geometrical intuition/026 Slides Possible solution sets of m by n systems of linear equations.pdf
1.1 MB
04 Solving systems of linear equations; Gaussian elimination/045 Notes Gauss Jordan elimination Problem 9.pdf
1.1 MB
10 Determinants/133 Notes Inverse matrix An explicit formula Problem 10.pdf
1.1 MB
04 Solving systems of linear equations; Gaussian elimination/042 Slides How to read solutions from REF and RREF matrices.pdf
1.1 MB
10 Determinants/129 Notes Invertible matrices Determinant test with a proof Problem 8.pdf
1.0 MB
10 Determinants/133 Slides Inverse matrix An explicit formula Problem 10.pdf
1.0 MB
02 Some basic concepts/002 Slides Coordinate systems and coordinates.pdf
1.0 MB
03 Systems of linear equations; building up your geometrical intuition/022 Slides Possible solution sets of 2 by 2 systems of linear equations.pdf
1.0 MB
07 Inverses; Algebraic properties of matrices/086 Notes Various rules Problem 3.pdf
994.1 kB
10 Determinants/120 Notes Evaluating determinants by row or column reduction.pdf
983.1 kB
02 Some basic concepts/005 Slides Vectors.pdf
975.3 kB
09 Linear systems and matrices/104 Notes Matrix equations Problem 3.pdf
972.2 kB
06 Matrices and matrix operations/059 Slides Matrix addition and subtraction Problem 1.pdf
939.8 kB
04 Solving systems of linear equations; Gaussian elimination/028 Slides Three elementary operations.pdf
932.5 kB
04 Solving systems of linear equations; Gaussian elimination/043 Slides General formulation of the algorithm in Gauss Jordan elimination.pdf
928.6 kB
06 Matrices and matrix operations/068 Notes Various matrix operations Problem 7.pdf
922.2 kB
10 Determinants/114 Notes Elementary column operations.pdf
909.5 kB
10 Determinants/117 Notes Sarrus method for 3 by 3 determinants.pdf
868.4 kB
09 Linear systems and matrices/102 Slides Solution of a linear system using A inverse Problem 1.pdf
845.4 kB
10 Determinants/123 Notes Properties of determinants Problem 2.pdf
814.4 kB
10 Determinants/124 Notes Properties of determinants Problem 3.pdf
813.5 kB
10 Determinants/114 Slides Elementary column operations.pdf
813.0 kB
10 Determinants/130 Notes Cramers rule Proof Example Geometrical interpretation.pdf
810.8 kB
04 Solving systems of linear equations; Gaussian elimination/033 Notes How to write the augmented matrix for a given system of equations Problem 1.pdf
794.9 kB
06 Matrices and matrix operations/067 Slides Trace of a matrix Definition and an example.pdf
769.2 kB
04 Solving systems of linear equations; Gaussian elimination/027 Notes An example of a 2 by 2 system of linear equations An algebraical solution.pdf
765.1 kB
08 Elementary matrices and a method for finding A inverse/092 Notes Matrix equations Problem 4.pdf
762.6 kB
06 Matrices and matrix operations/066 Slides Transposed matrix Definition and some examples.pdf
762.2 kB
10 Determinants/117 Slides Sarrus method for 3 by 3 determinants.pdf
760.0 kB
10 Determinants/105 Slides Why the determinants are important.pdf
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10 Determinants/112 Slides Conclusion 3 About adding a multiple of a column to another column.pdf
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10 Determinants/128 Slides Determinant equations Problem 7.pdf
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09 Linear systems and matrices/103 Slides Determining consistency by elimination Problem 2.pdf
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09 Linear systems and matrices/100 Slides Formally about the number of solutions to systems of linear equations.pdf
737.7 kB
09 Linear systems and matrices/101 Notes Two more statements in our important theorem.pdf
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07 Inverses; Algebraic properties of matrices/071 Slides Matrix addition has all the good properties.pdf
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09 Linear systems and matrices/101 Slides Two more statements in our important theorem.pdf
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02 Some basic concepts/013 Slides Pythagorean Theorem and distance between points.pdf
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10 Determinants/132 Notes Inverse matrix An explicit formula.pdf
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07 Inverses; Algebraic properties of matrices/083 Notes Computation rules for transposed matrices.pdf
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02 Some basic concepts/015 Slides Cosine Rule.pdf
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05 Some applications in mathematics and natural sciences/051 Notes Problem 1 Calculus.pdf
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07 Inverses; Algebraic properties of matrices/082 Slides Powers of matrices Powers of diagonal matrices.pdf
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08 Elementary matrices and a method for finding A inverse/090 Notes Matrix inverse Problem 2.pdf
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10 Determinants/122 Notes Properties of determinants Problem 1.pdf
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08 Elementary matrices and a method for finding A inverse/098 Slides A really important theorem.pdf
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02 Some basic concepts/004 Slides Normal equations of planes in the 3-space.pdf
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08 Elementary matrices and a method for finding A inverse/099 Notes Four equivalent statements.pdf
655.8 kB
02 Some basic concepts/014 Slides Sine cosine and pythagorean identity.pdf
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07 Inverses; Algebraic properties of matrices/076 Notes Two distributive laws.pdf
647.2 kB
07 Inverses; Algebraic properties of matrices/086 Slides Various rules Problem 3.pdf
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02 Some basic concepts/008 Notes Linear combinations.pdf
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06 Matrices and matrix operations/069 Slides Various matrix operations Problem 8.pdf
615.3 kB
07 Inverses; Algebraic properties of matrices/072 Notes Matrix multiplication has a neutral element for square matrices.pdf
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07 Inverses; Algebraic properties of matrices/084 Slides Supplement to Video 83 Inverse of a product.pdf
586.2 kB
04 Solving systems of linear equations; Gaussian elimination/041 Notes Preparation to the general formulation of the algorithm REF and RREF matrices.pdf
583.5 kB
10 Determinants/106 Slides 2-by-2 determinants Notation for n by n determinants.pdf
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04 Solving systems of linear equations; Gaussian elimination/040 Notes Gaussian elimination Problem 7.pdf
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10 Determinants/125 Notes Determinant equations Problem 4.pdf
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10 Determinants/112 Notes Conclusion 3 About adding a multiple of a column to another column.pdf
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04 Solving systems of linear equations; Gaussian elimination/046 Notes Gauss Jordan elimination Problem 10.pdf
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04 Solving systems of linear equations; Gaussian elimination/034 Notes How to write system of equations corresponding to a given augmented matrix Problem 2.pdf
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10 Determinants/127 Slides Determinant equations Problem 6.pdf
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06 Matrices and matrix operations/061 Slides Matrix scaling Problem 2.pdf
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07 Inverses; Algebraic properties of matrices/084 Notes Supplement to Video 83.pdf
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03 Systems of linear equations; building up your geometrical intuition/021 Slides An example of a 2 by 2 system of linear equations A graphical solution.pdf
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04 Solving systems of linear equations; Gaussian elimination/030 Slides Gauss Jordan elimination Example 2 by 2 unique solution.pdf
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07 Inverses; Algebraic properties of matrices/080 Notes Inverse matrix for 2-by-2 matrices Non-zero determinant.pdf
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02 Some basic concepts/007 Slides Vector addition and vector scaling.pdf
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06 Matrices and matrix operations/061 Notes Matrix scaling Problem 2.pdf
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06 Matrices and matrix operations/066 Notes Transposed matrix Definition and some examples.pdf
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07 Inverses; Algebraic properties of matrices/085 Slides Inverse of a transposed matrix.pdf
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04 Solving systems of linear equations; Gaussian elimination/039 Slides What happens if the system is inconsistent.pdf
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05 Some applications in mathematics and natural sciences/052 Slides Problem 2 Calculus.pdf
337.8 kB
03 Systems of linear equations; building up your geometrical intuition/018 Slides Linear and nonlinear equations.pdf
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07 Inverses; Algebraic properties of matrices/079 Slides Inverse matrices Not all non-zero square matrices have an inverse.pdf
323.5 kB
06 Matrices and matrix operations/058 Slides Different types of matrices.pdf
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09 Linear systems and matrices/104 Slides Matrix equations Problem 3.pdf
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07 Inverses; Algebraic properties of matrices/083 Slides Computation rules for transposed matrices.pdf
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08 Elementary matrices and a method for finding A inverse/095 Slides Matrix inverse Problem 7.pdf
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07 Inverses; Algebraic properties of matrices/070 Slides Properties of matrix operations An introduction.pdf
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07 Inverses; Algebraic properties of matrices/076 Slides Two distributive laws.pdf
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10 Determinants/125 Slides Determinant equations Problem 4.pdf
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10 Determinants/126 Slides Determinant equations Problem 5.pdf
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04 Solving systems of linear equations; Gaussian elimination/027 Slides An example of a 2 by 2 system of linear equations An algebraical solution.pdf
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05 Some applications in mathematics and natural sciences/051 Slides Problem 1 Calculus.pdf
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04 Solving systems of linear equations; Gaussian elimination/049 Slides Gauss Jordan elimination Problem 13.pdf
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07 Inverses; Algebraic properties of matrices/075 Slides Sometimes commutativity happens Problem 1.pdf
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04 Solving systems of linear equations; Gaussian elimination/045 Slides Gauss Jordan elimination Problem 9.pdf
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05 Some applications in mathematics and natural sciences/055 Slides Problem 5 Chemistry.pdf
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10 Determinants/136 Slides Problem 13 A trigonometric determinant.pdf
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04 Solving systems of linear equations; Gaussian elimination/044 Slides Gauss Jordan elimination Problem 8.pdf
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10 Determinants/135 Slides Problem 12 Another large determinant.pdf
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05 Some applications in mathematics and natural sciences/050 Slides Solving systems of linear equations in Linear Algebra and Geometry.pdf
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04 Solving systems of linear equations; Gaussian elimination/046 Slides Gauss Jordan elimination Problem 10.pdf
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08 Elementary matrices and a method for finding A inverse/089 Slides Matrix inverse Problem 1.pdf
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06 Matrices and matrix operations/068 Slides Various matrix operations Problem 7.pdf
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08 Elementary matrices and a method for finding A inverse/090 Slides Matrix inverse Problem 2.pdf
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08 Elementary matrices and a method for finding A inverse/093 Slides Matrix equations Problem 5.pdf
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08 Elementary matrices and a method for finding A inverse/094 Slides Matrix equations Problem 6.pdf
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04 Solving systems of linear equations; Gaussian elimination/034 Slides How to write system of equations corresponding to a given augmented matrix Problem 2.pdf
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04 Solving systems of linear equations; Gaussian elimination/035 Slides Gaussian elimination Problem 3.pdf
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07 Inverses; Algebraic properties of matrices/077 Slides Matrix multiplication does not have the zero-product property.pdf
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04 Solving systems of linear equations; Gaussian elimination/037 Slides Gaussian elimination Problem 5.pdf
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04 Solving systems of linear equations; Gaussian elimination/036 Slides Gaussian elimination Problem 4.pdf
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04 Solving systems of linear equations; Gaussian elimination/033 Slides How to write the augmented matrix for a given system of equations Problem 1.pdf
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08 Elementary matrices and a method for finding A inverse/099 Article-Solved-Problems-Matrix-Inverse.pdf
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05 Some applications in mathematics and natural sciences/056 Slides Problem 6 Electrical circuits.pdf
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07 Inverses; Algebraic properties of matrices/072 Slides Matrix multiplication has a neutral element for square matrices.pdf
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02 Some basic concepts/012 Slides Rules for computations with real numbers.pdf
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05 Some applications in mathematics and natural sciences/054 Slides Problem 4 Calculus.pdf
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04 Solving systems of linear equations; Gaussian elimination/048 Slides Gaussian elimination Problem 12.pdf
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05 Some applications in mathematics and natural sciences/053 Slides Problem 3 Calculus.pdf
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04 Solving systems of linear equations; Gaussian elimination/047 Slides Gauss Jordan elimination Problem 11.pdf
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04 Solving systems of linear equations; Gaussian elimination/040 Slides Gaussian elimination Problem 7.pdf
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04 Solving systems of linear equations; Gaussian elimination/038 Slides Gaussian elimination Problem 6.pdf
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03 Systems of linear equations; building up your geometrical intuition/016 Slides Different ways of looking at equations.pdf
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04 Solving systems of linear equations; Gaussian elimination/049 Article-Solved-Problems-Systems-of-Equations.pdf
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08 Elementary matrices and a method for finding A inverse/087 Slides Inverse matrices Introduction to the algorithm.pdf
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07 Inverses; Algebraic properties of matrices/086 Article-Solved-Problems-Matrix-Arithmetics.pdf
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10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.en.srt
49.1 kB
04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.en.srt
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04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.en.srt
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10 Determinants/028 Inverse matrix, an explicit formula.en.srt
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04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.en.srt
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05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.en.srt
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10 Determinants/033 Problem 14_ Vandermonde determinant.en.srt
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04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.en.srt
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02 Some basic concepts/009 Linear transformations.en.srt
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10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.en.srt
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04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.en.srt
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05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.en.srt
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02 Some basic concepts/007 Linear combinations.en.srt
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09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.en.srt
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09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.en.srt
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02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.en.srt
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10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.en.srt
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06 Matrices and matrix operations/013 Various matrix operations, Problem 8.en.srt
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08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.en.srt
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10 Determinants/003 Geometrical interpretations of determinants.en.srt
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10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.en.srt
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10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.en.srt
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07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.en.srt
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04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.en.srt
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06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.en.srt
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05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).en.srt
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07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.en.srt
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04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.en.srt
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10 Determinants/014 Determinant of transposed matrix; row operations.en.srt
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08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.en.srt
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04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.en.srt
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08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.en.srt
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04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.en.srt
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09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.en.srt
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08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.en.srt
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02 Some basic concepts/012 Pythagorean Theorem and distance between points.en.srt
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05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).en.srt
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08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.en.srt
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04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.en.srt
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10 Determinants/031 Problem 12, another large determinant.en.srt
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08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.en.srt
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10 Determinants/005 Definition of determinants.en.srt
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04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.en.srt
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01 Introduction to the course/001 Introduction.en.srt
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10 Determinants/022 Determinant equations, Problem 5.en.srt
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10 Determinants/012 How to compute 3-by-3 determinants from the definition.en.srt
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07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.en.srt
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10 Determinants/029 Invertible matrices, Problem 10.en.srt
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10 Determinants/027 Cramer’s rule, Problem 9.en.srt
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02 Some basic concepts/004 Vectors.en.srt
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03 Systems of linear equations; building up your geometrical intuition/002 Solution set.en.srt
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09 Linear systems and matrices/005 Matrix equations, Problem 3.en.srt
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10 Determinants/010 Elementary column operations.en.srt
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03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.en.srt
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07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.en.srt
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08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.en.srt
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06 Matrices and matrix operations/012 Various matrix operations, Problem 7.en.srt
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10 Determinants/016 Evaluating determinants by row or column reduction.en.srt
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04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.en.srt
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04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.en.srt
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11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.en.srt
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08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.en.srt
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02 Some basic concepts/014 Cosine Rule.en.srt
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02 Some basic concepts/006 Vector addition and vector scaling.en.srt
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07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.en.srt
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10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.en.srt
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03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.en.srt
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02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.en.srt
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02 Some basic concepts/011 Rules for computations with real numbers.en.srt
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10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.en.srt
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07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.en.srt
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03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.en.srt
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08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.en.srt
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06 Matrices and matrix operations/001 Introduction to matrices.en.srt
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06 Matrices and matrix operations/002 Different types of matrices.en.srt
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07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.en.srt
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06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.en.srt
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02 Some basic concepts/003 Normal equations of planes in the 3-space.en.srt
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07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.en.srt
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04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.en.srt
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08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.en.srt
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04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.en.srt
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05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.en.srt
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10 Determinants/020 Properties of determinants, Problem 3.en.srt
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09 Linear systems and matrices/002 Two more statements in our important theorem.en.srt
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10 Determinants/032 Problem 13_ a trigonometric determinant.en.srt
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04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.en.srt
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07 Inverses; Algebraic properties of matrices/007 Two distributive laws.en.srt
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10 Determinants/024 Determinant equations, Problem 7.en.srt
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10 Determinants/021 Determinant equations, Problem 4.en.srt
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11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.en.srt
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04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.en.srt
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11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.en.srt
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03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.en.srt
8.9 kB
04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.en.srt
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10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.en.srt
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11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.en.srt
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02 Some basic concepts/010 Matrix—vector multiplication.en.srt
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05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.en.srt
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08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.en.srt
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07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.en.srt
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10 Determinants/030 Problem 11, a large determinant.en.srt
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07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.en.srt
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07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.en.srt
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05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.en.srt
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10 Determinants/004 Geometrically about the determinant of a product.en.srt
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10 Determinants/011 How to compute 2-by-2 determinants from the definition.en.srt
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10 Determinants/023 Determinant equations, Problem 6.en.srt
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06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.en.srt
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11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.en.srt
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10 Determinants/019 Properties of determinants, Problem 2.en.srt
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02 Some basic concepts/008 Matrices.en.srt
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11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.en.srt
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04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.en.srt
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08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.en.srt
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10 Determinants/017 Determinant of inverse.en.srt
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02 Some basic concepts/013 Sine, cosine, and pythagorean identity.en.srt
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06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.en.srt
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04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.en.srt
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03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.en.srt
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07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.en.srt
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06 Matrices and matrix operations/007 Matrix multiplication, how to do.en.srt
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04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.en.srt
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08 Elementary matrices and a method for finding A inverse/012 A really important theorem.en.srt
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10 Determinants/018 Properties of determinants, Problem 1.en.srt
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07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.en.srt
5.7 kB
06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.en.srt
5.6 kB
10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.en.srt
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03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.en.srt
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11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.en.srt
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06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.en.srt
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03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.en.srt
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07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.en.srt
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10 Determinants/001 Why the determinants are important.en.srt
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03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.en.srt
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04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.en.srt
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03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.en.srt
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07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.en.srt
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04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.en.srt
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06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.en.srt
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07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.en.srt
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03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.en.srt
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06 Matrices and matrix operations/005 Matrix scaling, Problem 2.en.srt
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02 Some basic concepts/005 Scalars.en.srt
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01 Introduction to the course/[Tutorialsplanet.NET].url
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07 Inverses; Algebraic properties of matrices/[Tutorialsplanet.NET].url
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10 Determinants/[Tutorialsplanet.NET].url
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11 Vectors in 2-space, 3-space, and n-space/[Tutorialsplanet.NET].url
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03 Systems of linear equations; building up your geometrical intuition/023 Slides Possible solution sets of 3 by 2 systems of linear equations Overdetermined systems.pdf
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03 Systems of linear equations; building up your geometrical intuition/025 Slides Possible solution sets of 2 by 3 systems of linear equations Underdetermined systems.pdf
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