Linear Algebra - Khan Academy Online Courses

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Linear Algebra - Khan Academy Online Courses

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文件列表

  • Linear Algebra Least Squares Examples_FreeVideoLecturesDOTcom.mp4 86.1 MB
  • Linear Algebra Vector Triangle Inequality_FreeVideoLecturesDOTcom.mp4 85.5 MB
  • Inverting matrices (part 2)_FreeVideoLecturesDOTcom.mp4 40.6 MB
  • Matrices to solve a system of equations_FreeVideoLecturesDOTcom.mp4 40.4 MB
  • Singular Matrices_FreeVideoLecturesDOTcom.mp4 35.6 MB
  • Matrices to solve a vector combination problem_FreeVideoLecturesDOTcom.mp4 34.9 MB
  • Inverse Matrix (part 1)_FreeVideoLecturesDOTcom.mp4 34.5 MB
  • Matrix multiplication (part 1)_FreeVideoLecturesDOTcom.mp4 33.5 MB
  • Determining whether a transformation is onto_FreeVideoLecturesDOTcom.mp4 25.8 MB
  • Proof Invertibility implies a unique solution to f(x)=y_FreeVideoLecturesDOTcom.mp4 25.0 MB
  • Lin Alg Changing coordinate systems to help find a transformation matrix_FreeVideoLecturesDOTcom.mp4 22.3 MB
  • Lin Alg Example using orthogonal change-of-basis matrix to find transformation matrix_FreeVideoLecturesDOTcom.mp4 20.8 MB
  • Matrix multiplication (part 2)_FreeVideoLecturesDOTcom.mp4 19.5 MB
  • Linear Algebra Parametric Representations of Lines_FreeVideoLecturesDOTcom.mp4 19.4 MB
  • Linear Algebra Introduction to the inverse of a function_FreeVideoLecturesDOTcom.mp4 19.4 MB
  • Linear Algebra Vector Examples_FreeVideoLecturesDOTcom.mp4 19.2 MB
  • Linear Algebra Showing that Inverses are Linear_FreeVideoLecturesDOTcom.mp4 19.1 MB
  • Null Space and Column Space Basis_FreeVideoLecturesDOTcom.mp4 18.8 MB
  • Lin Alg Representing vectors in Rn using subspace members_FreeVideoLecturesDOTcom.mp4 18.7 MB
  • Linear Algebra Deriving a method for determining inverses_FreeVideoLecturesDOTcom.mp4 18.5 MB
  • Linear Algebra The Gram-Schmidt Process_FreeVideoLecturesDOTcom.mp4 18.3 MB
  • Linear Subspaces_FreeVideoLecturesDOTcom.mp4 18.2 MB
  • Linear Algebra Rowspace and Left Nullspace_FreeVideoLecturesDOTcom.mp4 18.1 MB
  • Visualizing a Column Space as a Plane in R3_FreeVideoLecturesDOTcom.mp4 18.0 MB
  • Defining the angle between vectors_FreeVideoLecturesDOTcom.mp4 17.9 MB
  • Linear Algebra Matrix condition for one-to-one trans_FreeVideoLecturesDOTcom.mp4 17.7 MB
  • Lin Alg Visualizations of Left Nullspace and Rowspace_FreeVideoLecturesDOTcom.mp4 17.7 MB
  • 3-variable linear equations (part 1)_FreeVideoLecturesDOTcom.mp4 17.5 MB
  • Linear Combinations and Span_FreeVideoLecturesDOTcom.mp4 17.3 MB
  • Linear Algebra Exploring the solution set of Ax=b_FreeVideoLecturesDOTcom.mp4 17.3 MB
  • Lin Alg Another Example of a Projection Matrix_FreeVideoLecturesDOTcom.mp4 16.1 MB
  • Image of a subset under a transformation_FreeVideoLecturesDOTcom.mp4 16.0 MB
  • Linear Algebra Determinant and area of a parallelogram_FreeVideoLecturesDOTcom.mp4 15.4 MB
  • Linear Algebra Matrix Product Examples_FreeVideoLecturesDOTcom.mp4 15.4 MB
  • Lin Alg Projections onto subspaces with orthonormal bases_FreeVideoLecturesDOTcom.mp4 15.4 MB
  • Proof Any subspace basis has same number of elements_FreeVideoLecturesDOTcom.mp4 15.3 MB
  • Linear Alg Rowspace Solution to Ax=b example_FreeVideoLecturesDOTcom_1.mp4 15.2 MB
  • Linear Alg Rowspace Solution to Ax=b example_FreeVideoLecturesDOTcom.mp4 15.2 MB
  • Lin Alg Alternate Basis Tranformation Matrix Example Part 2_FreeVideoLecturesDOTcom.mp4 14.9 MB
  • Linear Algebra Eigenvectors and Eigenspaces for a 3x3 matrix_FreeVideoLecturesDOTcom.mp4 14.7 MB
  • Linear Algebra Determinant as Scaling Factor_FreeVideoLecturesDOTcom.mp4 14.7 MB
  • Linear Algebra Orthogonal Complements_FreeVideoLecturesDOTcom.mp4 14.5 MB
  • Linear Algebra Eigenvalues of a 3x3 matrix_FreeVideoLecturesDOTcom.mp4 14.3 MB
  • Linear Algebra Coordinates with respect to orthonormal bases_FreeVideoLecturesDOTcom.mp4 14.1 MB
  • Proof Relationship between cross product and sin of angle_FreeVideoLecturesDOTcom.mp4 14.1 MB
  • Lin Alg Unique rowspace solution to Ax=b_FreeVideoLecturesDOTcom.mp4 14.0 MB
  • Matrix Vector Products_FreeVideoLecturesDOTcom.mp4 14.0 MB
  • Linear Algebra nxn Determinant_FreeVideoLecturesDOTcom.mp4 13.9 MB
  • Solving 3 Equations with 3 Unknowns_FreeVideoLecturesDOTcom.mp4 13.9 MB
  • Linear Algebra Gram-Schmidt example with 3 basis vectors_FreeVideoLecturesDOTcom.mp4 13.7 MB
  • Linear Algebra Finding Eigenvectors and Eigenspaces example_FreeVideoLecturesDOTcom.mp4 13.7 MB
  • Linear Algebra Basis of a Subspace_FreeVideoLecturesDOTcom.mp4 13.2 MB
  • Lin Alg Transformation Matrix with Respect to a Basis_FreeVideoLecturesDOTcom.mp4 13.0 MB
  • Dot and Cross Product ComparisonIntuition_FreeVideoLecturesDOTcom.mp4 12.9 MB
  • Linear Algebra Formula for 2x2 inverse_FreeVideoLecturesDOTcom.mp4 12.4 MB
  • Span and Linear Independence Example_FreeVideoLecturesDOTcom.mp4 12.2 MB
  • Linear Transformations as Matrix Vector Products_FreeVideoLecturesDOTcom.mp4 12.1 MB
  • Inverting Matrices (part 3)_FreeVideoLecturesDOTcom.mp4 12.1 MB
  • Preimage and Kernel Example_FreeVideoLecturesDOTcom.mp4 12.1 MB
  • Matrix Vector Products as Linear Transformations_FreeVideoLecturesDOTcom.mp4 11.9 MB
  • Linear Transformation Examples Rotations in R2_FreeVideoLecturesDOTcom.mp4 11.9 MB
  • Compositions of Linear Transformations 2_FreeVideoLecturesDOTcom.mp4 11.8 MB
  • im(T) Image of a Transformation_FreeVideoLecturesDOTcom.mp4 11.7 MB
  • Linear Algebra Introduction to Linear Independence_FreeVideoLecturesDOTcom.mp4 11.7 MB
  • Linear Algebra Gram-Schmidt Process Example_FreeVideoLecturesDOTcom.mp4 11.6 MB
  • More on linear independence_FreeVideoLecturesDOTcom.mp4 11.6 MB
  • Expressing a Projection on to a line as a Matrix Vector prod_FreeVideoLecturesDOTcom.mp4 11.6 MB
  • Proof of the Cauchy-Schwarz Inequality_FreeVideoLecturesDOTcom.mp4 11.6 MB
  • Linear Algebra Change of Basis Matrix_FreeVideoLecturesDOTcom.mp4 11.5 MB
  • Matrix Product Associativity_FreeVideoLecturesDOTcom.mp4 11.5 MB
  • Lin Alg A Projection onto a Subspace is a Linear Transforma_FreeVideoLecturesDOTcom.mp4 11.4 MB
  • Matrices Reduced Row Echelon Form 1_FreeVideoLecturesDOTcom.mp4 11.4 MB
  • Linear Algebra Projections onto Subspaces_FreeVideoLecturesDOTcom.mp4 11.4 MB
  • Linear Algebra Least Squares Approximation_FreeVideoLecturesDOTcom.mp4 11.4 MB
  • Linear Algebra Showing that an eigenbasis makes for good coordinate systems_FreeVideoLecturesDOTcom.mp4 11.3 MB
  • Linear Transformation Examples Scaling and Reflections_FreeVideoLecturesDOTcom.mp4 11.3 MB
  • Linear Algebra Introduction to Vectors_FreeVideoLecturesDOTcom.mp4 11.2 MB
  • Linear Algebra Cross Product Introduction_FreeVideoLecturesDOTcom.mp4 11.0 MB
  • Introduction to matrices_FreeVideoLecturesDOTcom.mp4 11.0 MB
  • A more formal understanding of functions_FreeVideoLecturesDOTcom.mp4 10.8 MB
  • Showing that the candidate basis does span C(A)_FreeVideoLecturesDOTcom.mp4 10.5 MB
  • Linear Algebra Determinant when row is added_FreeVideoLecturesDOTcom.mp4 10.3 MB
  • Sums and Scalar Multiples of Linear Transformations_FreeVideoLecturesDOTcom.mp4 10.2 MB
  • Linear Algebra Determinant of Transpose_FreeVideoLecturesDOTcom.mp4 10.0 MB
  • Dimension of the Null Space or Nullity_FreeVideoLecturesDOTcom.mp4 10.0 MB
  • Linear Algebra Another Least Squares Example_FreeVideoLecturesDOTcom.mp4 9.9 MB
  • Linear Algebra Coordinates with Respect to a Basis_FreeVideoLecturesDOTcom.mp4 9.7 MB
  • Lin Alg Orthogonal matrices preserve angles and lengths_FreeVideoLecturesDOTcom.mp4 9.6 MB
  • Linear Algebra Introduction to Orthonormal Bases_FreeVideoLecturesDOTcom.mp4 9.6 MB
  • Distributive Property of Matrix Products_FreeVideoLecturesDOTcom.mp4 9.6 MB
  • Defining a plane in R3 with a point and normal vector_FreeVideoLecturesDOTcom.mp4 9.6 MB
  • Linear Transformations_FreeVideoLecturesDOTcom.mp4 9.5 MB
  • Vector Transformations_FreeVideoLecturesDOTcom.mp4 9.4 MB
  • Surjective (onto) and Injective (one-to-one) functions_FreeVideoLecturesDOTcom.mp4 9.4 MB
  • Dimension of the Column Space or Rank_FreeVideoLecturesDOTcom.mp4 9.3 MB
  • Null Space 2 Calculating the null space of a matrix_FreeVideoLecturesDOTcom.mp4 9.2 MB
  • Linear Algebra Determinant when row multiplied by scalar_FreeVideoLecturesDOTcom.mp4 9.2 MB
  • Lin Alg Alternate Basis Tranformation Matrix Example_FreeVideoLecturesDOTcom.mp4 9.1 MB
  • Lin Alg Invertible Change of Basis Matrix_FreeVideoLecturesDOTcom.mp4 9.1 MB
  • Introduction to Projections_FreeVideoLecturesDOTcom.mp4 9.0 MB
  • Lin Alg Showing that A-transpose x A is invertible_FreeVideoLecturesDOTcom.mp4 8.9 MB
  • Compositions of Linear Transformations 1_FreeVideoLecturesDOTcom.mp4 8.1 MB
  • Linear Algebra Subspace Projection Matrix Example_FreeVideoLecturesDOTcom.mp4 7.9 MB
  • Matrices Reduced Row Echelon Form 3_FreeVideoLecturesDOTcom.mp4 7.8 MB
  • Null Space 3 Relation to Linear Independence_FreeVideoLecturesDOTcom.mp4 7.8 MB
  • Column Space of a Matrix_FreeVideoLecturesDOTcom.mp4 7.8 MB
  • Linear Algebra Rank(A) = Rank(transpose of A)_FreeVideoLecturesDOTcom.mp4 7.7 MB
  • Linear Algebra Proof of formula for determining Eigenvalues_FreeVideoLecturesDOTcom.mp4 7.7 MB
  • Linear Algebra Transpose of a Vector_FreeVideoLecturesDOTcom.mp4 7.7 MB
  • Rotation in R3 around the X-axis_FreeVideoLecturesDOTcom.mp4 7.6 MB
  • Lin Alg Orthogonal Complement of the Orthogonal Complement_FreeVideoLecturesDOTcom.mp4 7.6 MB
  • More on Matrix Addition and Scalar Multiplication_FreeVideoLecturesDOTcom.mp4 7.5 MB
  • Proving Vector Dot Product Properties_FreeVideoLecturesDOTcom.mp4 7.4 MB
  • Introduction to the Null Space of a Matrix_FreeVideoLecturesDOTcom.mp4 6.9 MB
  • Linear Algebra Determinant after row operations_FreeVideoLecturesDOTcom.mp4 6.7 MB
  • Linear Algebra Introduction to Eigenvalues and Eigenvectors_FreeVideoLecturesDOTcom.mp4 6.6 MB
  • Showing relation between basis cols and pivot cols_FreeVideoLecturesDOTcom.mp4 6.6 MB
  • Linear Algebra 3x3 Determinant_FreeVideoLecturesDOTcom.mp4 6.5 MB
  • Relating invertibility to being onto and one-to-one_FreeVideoLecturesDOTcom.mp4 6.5 MB
  • Linear Algebra Simplifying conditions for invertibility_FreeVideoLecturesDOTcom.mp4 6.2 MB
  • Linear Algebra Simpler 4x4 determinant_FreeVideoLecturesDOTcom.mp4 6.2 MB
  • Linear Algebra dim(V) + dim(orthogonoal complelent of V)=n_FreeVideoLecturesDOTcom.mp4 6.0 MB
  • Vector Dot Product and Vector Length_FreeVideoLecturesDOTcom.mp4 6.0 MB
  • Linear Alg Visualizing a projection onto a plane_FreeVideoLecturesDOTcom.mp4 5.8 MB
  • Linear Algebra Example of Finding Matrix Inverse_FreeVideoLecturesDOTcom.mp4 5.6 MB
  • Linear Algebra Determinants along other rowscols_FreeVideoLecturesDOTcom.mp4 5.5 MB
  • Linear Alg Projection is closest vector in subspace_FreeVideoLecturesDOTcom.mp4 5.5 MB
  • Linear Algebra Duplicate Row Determinant_FreeVideoLecturesDOTcom.mp4 5.5 MB
  • Lin Alg Finding projection onto subspace with orthonormal basis example_FreeVideoLecturesDOTcom.mp4 5.3 MB
  • Linear Algebra Example solving for the eigenvalues of a 2x2 matrix_FreeVideoLecturesDOTcom.mp4 5.3 MB
  • Linear Algebra Transposes of sums and inverses_FreeVideoLecturesDOTcom.mp4 5.2 MB
  • Linear Algebra Upper Triangular Determinant_FreeVideoLecturesDOTcom.mp4 5.1 MB
  • Linear Algebra Rule of Sarrus of Determinants_FreeVideoLecturesDOTcom.mp4 4.8 MB
  • Linear Algebra Transpose of a Matrix_FreeVideoLecturesDOTcom.mp4 4.7 MB
  • Matrices Reduced Row Echelon Form 2_FreeVideoLecturesDOTcom.mp4 4.4 MB
  • Unit Vectors_FreeVideoLecturesDOTcom.mp4 4.4 MB
  • Preimage of a set_FreeVideoLecturesDOTcom.mp4 3.4 MB
  • Lin Alg Orthogonal Complement of the Nullspace_FreeVideoLecturesDOTcom.mp4 2.0 MB
  • Linear Algebra (correction) scalar muliplication of row_FreeVideoLecturesDOTcom.mp4 1.6 MB

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