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Linear Algebra - Khan Academy Online Courses

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文件列表

  1. Linear Algebra Least Squares Examples_FreeVideoLecturesDOTcom.mp4 82MB
  2. Linear Algebra Vector Triangle Inequality_FreeVideoLecturesDOTcom.mp4 82MB
  3. Inverting matrices (part 2)_FreeVideoLecturesDOTcom.mp4 39MB
  4. Matrices to solve a system of equations_FreeVideoLecturesDOTcom.mp4 39MB
  5. Singular Matrices_FreeVideoLecturesDOTcom.mp4 34MB
  6. Matrices to solve a vector combination problem_FreeVideoLecturesDOTcom.mp4 33MB
  7. Inverse Matrix (part 1)_FreeVideoLecturesDOTcom.mp4 33MB
  8. Matrix multiplication (part 1)_FreeVideoLecturesDOTcom.mp4 32MB
  9. Determining whether a transformation is onto_FreeVideoLecturesDOTcom.mp4 25MB
  10. Proof Invertibility implies a unique solution to f(x)=y_FreeVideoLecturesDOTcom.mp4 24MB
  11. Lin Alg Changing coordinate systems to help find a transformation matrix_FreeVideoLecturesDOTcom.mp4 21MB
  12. Lin Alg Example using orthogonal change-of-basis matrix to find transformation matrix_FreeVideoLecturesDOTcom.mp4 20MB
  13. Matrix multiplication (part 2)_FreeVideoLecturesDOTcom.mp4 19MB
  14. Linear Algebra Parametric Representations of Lines_FreeVideoLecturesDOTcom.mp4 19MB
  15. Linear Algebra Introduction to the inverse of a function_FreeVideoLecturesDOTcom.mp4 18MB
  16. Linear Algebra Vector Examples_FreeVideoLecturesDOTcom.mp4 18MB
  17. Linear Algebra Showing that Inverses are Linear_FreeVideoLecturesDOTcom.mp4 18MB
  18. Null Space and Column Space Basis_FreeVideoLecturesDOTcom.mp4 18MB
  19. Lin Alg Representing vectors in Rn using subspace members_FreeVideoLecturesDOTcom.mp4 18MB
  20. Linear Algebra Deriving a method for determining inverses_FreeVideoLecturesDOTcom.mp4 18MB
  21. Linear Algebra The Gram-Schmidt Process_FreeVideoLecturesDOTcom.mp4 17MB
  22. Linear Subspaces_FreeVideoLecturesDOTcom.mp4 17MB
  23. Linear Algebra Rowspace and Left Nullspace_FreeVideoLecturesDOTcom.mp4 17MB
  24. Visualizing a Column Space as a Plane in R3_FreeVideoLecturesDOTcom.mp4 17MB
  25. Defining the angle between vectors_FreeVideoLecturesDOTcom.mp4 17MB
  26. Linear Algebra Matrix condition for one-to-one trans_FreeVideoLecturesDOTcom.mp4 17MB
  27. Lin Alg Visualizations of Left Nullspace and Rowspace_FreeVideoLecturesDOTcom.mp4 17MB
  28. 3-variable linear equations (part 1)_FreeVideoLecturesDOTcom.mp4 17MB
  29. Linear Combinations and Span_FreeVideoLecturesDOTcom.mp4 16MB
  30. Linear Algebra Exploring the solution set of Ax=b_FreeVideoLecturesDOTcom.mp4 16MB
  31. Lin Alg Another Example of a Projection Matrix_FreeVideoLecturesDOTcom.mp4 15MB
  32. Image of a subset under a transformation_FreeVideoLecturesDOTcom.mp4 15MB
  33. Linear Algebra Determinant and area of a parallelogram_FreeVideoLecturesDOTcom.mp4 15MB
  34. Linear Algebra Matrix Product Examples_FreeVideoLecturesDOTcom.mp4 15MB
  35. Lin Alg Projections onto subspaces with orthonormal bases_FreeVideoLecturesDOTcom.mp4 15MB
  36. Proof Any subspace basis has same number of elements_FreeVideoLecturesDOTcom.mp4 15MB
  37. Linear Alg Rowspace Solution to Ax=b example_FreeVideoLecturesDOTcom_1.mp4 15MB
  38. Linear Alg Rowspace Solution to Ax=b example_FreeVideoLecturesDOTcom.mp4 15MB
  39. Lin Alg Alternate Basis Tranformation Matrix Example Part 2_FreeVideoLecturesDOTcom.mp4 14MB
  40. Linear Algebra Eigenvectors and Eigenspaces for a 3x3 matrix_FreeVideoLecturesDOTcom.mp4 14MB
  41. Linear Algebra Determinant as Scaling Factor_FreeVideoLecturesDOTcom.mp4 14MB
  42. Linear Algebra Orthogonal Complements_FreeVideoLecturesDOTcom.mp4 14MB
  43. Linear Algebra Eigenvalues of a 3x3 matrix_FreeVideoLecturesDOTcom.mp4 14MB
  44. Linear Algebra Coordinates with respect to orthonormal bases_FreeVideoLecturesDOTcom.mp4 13MB
  45. Proof Relationship between cross product and sin of angle_FreeVideoLecturesDOTcom.mp4 13MB
  46. Lin Alg Unique rowspace solution to Ax=b_FreeVideoLecturesDOTcom.mp4 13MB
  47. Matrix Vector Products_FreeVideoLecturesDOTcom.mp4 13MB
  48. Linear Algebra nxn Determinant_FreeVideoLecturesDOTcom.mp4 13MB
  49. Solving 3 Equations with 3 Unknowns_FreeVideoLecturesDOTcom.mp4 13MB
  50. Linear Algebra Gram-Schmidt example with 3 basis vectors_FreeVideoLecturesDOTcom.mp4 13MB
  51. Linear Algebra Finding Eigenvectors and Eigenspaces example_FreeVideoLecturesDOTcom.mp4 13MB
  52. Linear Algebra Basis of a Subspace_FreeVideoLecturesDOTcom.mp4 13MB
  53. Lin Alg Transformation Matrix with Respect to a Basis_FreeVideoLecturesDOTcom.mp4 12MB
  54. Dot and Cross Product ComparisonIntuition_FreeVideoLecturesDOTcom.mp4 12MB
  55. Linear Algebra Formula for 2x2 inverse_FreeVideoLecturesDOTcom.mp4 12MB
  56. Span and Linear Independence Example_FreeVideoLecturesDOTcom.mp4 12MB
  57. Linear Transformations as Matrix Vector Products_FreeVideoLecturesDOTcom.mp4 12MB
  58. Inverting Matrices (part 3)_FreeVideoLecturesDOTcom.mp4 12MB
  59. Preimage and Kernel Example_FreeVideoLecturesDOTcom.mp4 12MB
  60. Matrix Vector Products as Linear Transformations_FreeVideoLecturesDOTcom.mp4 11MB
  61. Linear Transformation Examples Rotations in R2_FreeVideoLecturesDOTcom.mp4 11MB
  62. Compositions of Linear Transformations 2_FreeVideoLecturesDOTcom.mp4 11MB
  63. im(T) Image of a Transformation_FreeVideoLecturesDOTcom.mp4 11MB
  64. Linear Algebra Introduction to Linear Independence_FreeVideoLecturesDOTcom.mp4 11MB
  65. Linear Algebra Gram-Schmidt Process Example_FreeVideoLecturesDOTcom.mp4 11MB
  66. More on linear independence_FreeVideoLecturesDOTcom.mp4 11MB
  67. Expressing a Projection on to a line as a Matrix Vector prod_FreeVideoLecturesDOTcom.mp4 11MB
  68. Proof of the Cauchy-Schwarz Inequality_FreeVideoLecturesDOTcom.mp4 11MB
  69. Linear Algebra Change of Basis Matrix_FreeVideoLecturesDOTcom.mp4 11MB
  70. Matrix Product Associativity_FreeVideoLecturesDOTcom.mp4 11MB
  71. Lin Alg A Projection onto a Subspace is a Linear Transforma_FreeVideoLecturesDOTcom.mp4 11MB
  72. Matrices Reduced Row Echelon Form 1_FreeVideoLecturesDOTcom.mp4 11MB
  73. Linear Algebra Projections onto Subspaces_FreeVideoLecturesDOTcom.mp4 11MB
  74. Linear Algebra Least Squares Approximation_FreeVideoLecturesDOTcom.mp4 11MB
  75. Linear Algebra Showing that an eigenbasis makes for good coordinate systems_FreeVideoLecturesDOTcom.mp4 11MB
  76. Linear Transformation Examples Scaling and Reflections_FreeVideoLecturesDOTcom.mp4 11MB
  77. Linear Algebra Introduction to Vectors_FreeVideoLecturesDOTcom.mp4 11MB
  78. Linear Algebra Cross Product Introduction_FreeVideoLecturesDOTcom.mp4 10MB
  79. Introduction to matrices_FreeVideoLecturesDOTcom.mp4 10MB
  80. A more formal understanding of functions_FreeVideoLecturesDOTcom.mp4 10MB
  81. Showing that the candidate basis does span C(A)_FreeVideoLecturesDOTcom.mp4 10MB
  82. Linear Algebra Determinant when row is added_FreeVideoLecturesDOTcom.mp4 10MB
  83. Sums and Scalar Multiples of Linear Transformations_FreeVideoLecturesDOTcom.mp4 10MB
  84. Linear Algebra Determinant of Transpose_FreeVideoLecturesDOTcom.mp4 10MB
  85. Dimension of the Null Space or Nullity_FreeVideoLecturesDOTcom.mp4 10MB
  86. Linear Algebra Another Least Squares Example_FreeVideoLecturesDOTcom.mp4 9MB
  87. Linear Algebra Coordinates with Respect to a Basis_FreeVideoLecturesDOTcom.mp4 9MB
  88. Lin Alg Orthogonal matrices preserve angles and lengths_FreeVideoLecturesDOTcom.mp4 9MB
  89. Linear Algebra Introduction to Orthonormal Bases_FreeVideoLecturesDOTcom.mp4 9MB
  90. Distributive Property of Matrix Products_FreeVideoLecturesDOTcom.mp4 9MB
  91. Defining a plane in R3 with a point and normal vector_FreeVideoLecturesDOTcom.mp4 9MB
  92. Linear Transformations_FreeVideoLecturesDOTcom.mp4 9MB
  93. Vector Transformations_FreeVideoLecturesDOTcom.mp4 9MB
  94. Surjective (onto) and Injective (one-to-one) functions_FreeVideoLecturesDOTcom.mp4 9MB
  95. Dimension of the Column Space or Rank_FreeVideoLecturesDOTcom.mp4 9MB
  96. Null Space 2 Calculating the null space of a matrix_FreeVideoLecturesDOTcom.mp4 9MB
  97. Linear Algebra Determinant when row multiplied by scalar_FreeVideoLecturesDOTcom.mp4 9MB
  98. Lin Alg Alternate Basis Tranformation Matrix Example_FreeVideoLecturesDOTcom.mp4 9MB
  99. Lin Alg Invertible Change of Basis Matrix_FreeVideoLecturesDOTcom.mp4 9MB
  100. Introduction to Projections_FreeVideoLecturesDOTcom.mp4 9MB
  101. Lin Alg Showing that A-transpose x A is invertible_FreeVideoLecturesDOTcom.mp4 9MB
  102. Compositions of Linear Transformations 1_FreeVideoLecturesDOTcom.mp4 8MB
  103. Linear Algebra Subspace Projection Matrix Example_FreeVideoLecturesDOTcom.mp4 8MB
  104. Matrices Reduced Row Echelon Form 3_FreeVideoLecturesDOTcom.mp4 7MB
  105. Null Space 3 Relation to Linear Independence_FreeVideoLecturesDOTcom.mp4 7MB
  106. Column Space of a Matrix_FreeVideoLecturesDOTcom.mp4 7MB
  107. Linear Algebra Rank(A) = Rank(transpose of A)_FreeVideoLecturesDOTcom.mp4 7MB
  108. Linear Algebra Proof of formula for determining Eigenvalues_FreeVideoLecturesDOTcom.mp4 7MB
  109. Linear Algebra Transpose of a Vector_FreeVideoLecturesDOTcom.mp4 7MB
  110. Rotation in R3 around the X-axis_FreeVideoLecturesDOTcom.mp4 7MB
  111. Lin Alg Orthogonal Complement of the Orthogonal Complement_FreeVideoLecturesDOTcom.mp4 7MB
  112. More on Matrix Addition and Scalar Multiplication_FreeVideoLecturesDOTcom.mp4 7MB
  113. Proving Vector Dot Product Properties_FreeVideoLecturesDOTcom.mp4 7MB
  114. Introduction to the Null Space of a Matrix_FreeVideoLecturesDOTcom.mp4 7MB
  115. Linear Algebra Determinant after row operations_FreeVideoLecturesDOTcom.mp4 6MB
  116. Linear Algebra Introduction to Eigenvalues and Eigenvectors_FreeVideoLecturesDOTcom.mp4 6MB
  117. Showing relation between basis cols and pivot cols_FreeVideoLecturesDOTcom.mp4 6MB
  118. Linear Algebra 3x3 Determinant_FreeVideoLecturesDOTcom.mp4 6MB
  119. Relating invertibility to being onto and one-to-one_FreeVideoLecturesDOTcom.mp4 6MB
  120. Linear Algebra Simplifying conditions for invertibility_FreeVideoLecturesDOTcom.mp4 6MB
  121. Linear Algebra Simpler 4x4 determinant_FreeVideoLecturesDOTcom.mp4 6MB
  122. Linear Algebra dim(V) + dim(orthogonoal complelent of V)=n_FreeVideoLecturesDOTcom.mp4 6MB
  123. Vector Dot Product and Vector Length_FreeVideoLecturesDOTcom.mp4 6MB
  124. Linear Alg Visualizing a projection onto a plane_FreeVideoLecturesDOTcom.mp4 6MB
  125. Linear Algebra Example of Finding Matrix Inverse_FreeVideoLecturesDOTcom.mp4 5MB
  126. Linear Algebra Determinants along other rowscols_FreeVideoLecturesDOTcom.mp4 5MB
  127. Linear Alg Projection is closest vector in subspace_FreeVideoLecturesDOTcom.mp4 5MB
  128. Linear Algebra Duplicate Row Determinant_FreeVideoLecturesDOTcom.mp4 5MB
  129. Lin Alg Finding projection onto subspace with orthonormal basis example_FreeVideoLecturesDOTcom.mp4 5MB
  130. Linear Algebra Example solving for the eigenvalues of a 2x2 matrix_FreeVideoLecturesDOTcom.mp4 5MB
  131. Linear Algebra Transposes of sums and inverses_FreeVideoLecturesDOTcom.mp4 5MB
  132. Linear Algebra Upper Triangular Determinant_FreeVideoLecturesDOTcom.mp4 5MB
  133. Linear Algebra Rule of Sarrus of Determinants_FreeVideoLecturesDOTcom.mp4 5MB
  134. Linear Algebra Transpose of a Matrix_FreeVideoLecturesDOTcom.mp4 5MB
  135. Matrices Reduced Row Echelon Form 2_FreeVideoLecturesDOTcom.mp4 4MB
  136. Unit Vectors_FreeVideoLecturesDOTcom.mp4 4MB
  137. Preimage of a set_FreeVideoLecturesDOTcom.mp4 3MB
  138. Lin Alg Orthogonal Complement of the Nullspace_FreeVideoLecturesDOTcom.mp4 2MB
  139. Linear Algebra (correction) scalar muliplication of row_FreeVideoLecturesDOTcom.mp4 2MB