線性代數

  1. 課程簡介
  2. 資源下載
  3. Basic Concepts on Matrices and Vectors (1)
  4. Basic Concepts on Matrices and Vectors (2)
  5. Basic Concepts on Matrices and Vectors (3)
  6. Basic Concepts on Matrices and Vectors (4)
  7. Basic Concepts on Matrices and Vectors (5)
  8. System of Linear Equations (1)
  9. System of Linear Equations (2)
  10. Gaussian Elimination (1)
  11. Gaussian Elimination (2)
  12. The language of set theory
  13. Span of a Set of Vectors (1)
  14. Span of a Set of Vectors (2)
  15. Linear Dependence and Linear Independence (1)
  16. Linear Dependence and Linear Independence (2)
  17. Matrix Multiplication
  18. Invertibility and Elementary Matrices
  19. Column Correspondence Theorem
  20. The Inverse of a Matrix (1)
  21. The Inverse of a Matrix (2)
  22. Linear Transformations and Matrices (1)
  23. Linear Transformations and Matrices (2)
  24. Composition and Invertibility of Linear Transformations (1)
  25. Composition and Invertibility of Linear Transformations (2)
  26. Determinants (1)
  27. Determinants (2)
  28. Subspaces and their properties
  29. Basis and Dimension (1)
  30. Basis and Dimension (2)
  31. The Dimension of Subspaces associated with a Matrix
  32. Coordinate Systems
  33. Matrix Representations of Linear Operators
  34. Eigenvalues, Eigenvectors, and Diagonalization
  35. The Characteristic Polynomial (1)
  36. The Characteristic Polynomial (2)
  37. Diagonalization of Matrices (1)
  38. Diagonalization of Matrices (2)
  39. The Geometry of Vectors Dot Product (1)
  40. The Geometry of Vectors Dot Product (2)
  41. Orthogonal Vectors (1)
  42. Orthogonal Vectors (2)
  43. Orthogonal Projections (1)
  44. Orthogonal Projections (2)
  45. Least Squares Approximations and Orthogonal Projection Matrices
  46. Orthogonal Matrices and Operators
  47. Symmetric Matrices (1)
  48. Symmetric Matrices (2)
  49. Symmetric Matrices (3)
  50. Symmetric Matrices (4)
  51. Vector Spaces and Their Subspaces (1)
  52. Vector Spaces and Their Subspaces (2)
  53. Vector Spaces and Their Subspaces (3)
  54. Vector Spaces and Their Subspaces (4)
  55. Linear Transformation (1)
  56. Linear Transformation (2)
  57. Linear Transformation (3)
  58. Basis and Dimension (1)
  59. Basis and Dimension (2)
  60. Basis and Dimension (3)
  61. Matrix Representations of Linear Operators (1)
  62. Matrix Representations of Linear Operators (2)
  63. The Matrix Representations of the Inverse of an Invertible Linear Operator (1)
  64. The Matrix Representations of the Inverse of an Invertible Linear Operator (2)
  65. Eigenvalues and Eigenvectors of a Matrix Representations of a Linear Operator
  66. Inner Product Spaces (1)
  67. Inner Product Spaces (2)
  68. Inner Product Spaces (3)
  69. Inner Product Spaces (4)
  70. Inner Product Spaces (5)

Invertibility and Elementary Matrices

  • 16_Invertibility and Elementary Matrices

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  • 16_講義_Invertibility and Elementary Matrices

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