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線性代數 | 台大開放式課程線上共學社群
問題討論
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共享筆記
目錄大綱
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1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. Basic Concepts on Matrices and Vectors (1)
2. Basic Concepts on Matrices and Vectors (2)
3. Basic Concepts on Matrices and Vectors (3)
4. Basic Concepts on Matrices and Vectors (4)
5. Basic Concepts on Matrices and Vectors (5)
6. System of Linear Equations (1)
7. System of Linear Equations (2)
8. Gaussian Elimination (1)
9. Gaussian Elimination (2)
10. The language of set theory
11. Span of a Set of Vectors (1)
12. Span of a Set of Vectors (2)
13. Linear Dependence and Linear Independence (1)
14. Linear Dependence and Linear Independence (2)
15. Matrix Multiplication
16. Invertibility and Elmentary Matrices
17. Column Correspondence Theorem
18. The Inverse of a Matrix (1)
19. The Inverse of a Matrix (2)
20. Linear Transformations and Matrices (1)
21. Linear Transformations and Matrices (2)
22. Composition and Invertibility of Linear Transformations (1)
23. Composition and Invertibility of Linear Transformations (2)
24. Determinants (1)
25. Determinants (2)
26. Subspaces and their properties
27. Basis and Dimension (1)
28. Basis and Dimension (2)
29. The Dimension of Subspaces associated with a Matrix
30. Coordinate Systems
31. Matrix Representations of Linear Operators
32. Eigenvalues, Eigenvectors, and Diagonalization
33. The Characteristic Polynomial (1)
34. The Characteristic Polynomial (2)
35. Diagonalization of Matrices (1)
36. Diagonalization of Matrices (2)
37. The Geometry of Vectors Dot Product (1)
38. The Geometry of Vectors Dot Product (2)
39. Orthogonal Vectors (1)
40. Orthogonal Vectors (2)
41. Orthogonal Projections (1)
42. Orthogonal Projections (2)
43. Least Squares Approximations and Orthogonal Projection Matrices
44. Orthogonal Matrices and Operators
45. Symmetric Matrices (1)
46. Symmetric Matrices (2)
47. Symmetric Matrices (3)
48. Symmetric Matrices (4)
49. Vector Spaces and Their Subspaces (1)
50. Vector Spaces and Their Subspaces (2)
51. Vector Spaces and Their Subspaces (3)
52. Vector Spaces and Their Subspaces (4)
53. Linear Transformation (1)
54. Linear Transformation (2)
55. Linear Transformation (3)
56. Basis and Dimension (1)
57. Basis and Dimension (2)
58. Basis and Dimension (3)
59. Matrix Representations of Linear Operators (1)
60. Matrix Representations of Linear Operators (2)
61. The Matrix Representations of the Inverse of an Invertible Linear Operator (1)
62. The Matrix Representations of the Inverse of an Invertible Linear Operator (2)
63. Eigenvalues and Eigenvectors of a Matrix Representations of a Linear Operator
64. Inner Product Spaces (1)
65. Inner Product Spaces (2)
66. Inner Product Spaces (3)
67. Inner Product Spaces (4)
68. Inner Product Spaces (5)
線性代數 | 台大開放式課程線上共學社群
問題討論
作業任務
共享筆記
目錄大綱
(0/0)
1. 新手出發
1. 社群共學進行方式
2. 問題討論和共享筆記方式
2. 課程內容
1. Basic Concepts on Matrices and Vectors (1)
2. Basic Concepts on Matrices and Vectors (2)
3. Basic Concepts on Matrices and Vectors (3)
4. Basic Concepts on Matrices and Vectors (4)
5. Basic Concepts on Matrices and Vectors (5)
6. System of Linear Equations (1)
7. System of Linear Equations (2)
8. Gaussian Elimination (1)
9. Gaussian Elimination (2)
10. The language of set theory
11. Span of a Set of Vectors (1)
12. Span of a Set of Vectors (2)
13. Linear Dependence and Linear Independence (1)
14. Linear Dependence and Linear Independence (2)
15. Matrix Multiplication
16. Invertibility and Elmentary Matrices
17. Column Correspondence Theorem
18. The Inverse of a Matrix (1)
19. The Inverse of a Matrix (2)
20. Linear Transformations and Matrices (1)
21. Linear Transformations and Matrices (2)
22. Composition and Invertibility of Linear Transformations (1)
23. Composition and Invertibility of Linear Transformations (2)
24. Determinants (1)
25. Determinants (2)
26. Subspaces and their properties
27. Basis and Dimension (1)
28. Basis and Dimension (2)
29. The Dimension of Subspaces associated with a Matrix
30. Coordinate Systems
31. Matrix Representations of Linear Operators
32. Eigenvalues, Eigenvectors, and Diagonalization
33. The Characteristic Polynomial (1)
34. The Characteristic Polynomial (2)
35. Diagonalization of Matrices (1)
36. Diagonalization of Matrices (2)
37. The Geometry of Vectors Dot Product (1)
38. The Geometry of Vectors Dot Product (2)
39. Orthogonal Vectors (1)
40. Orthogonal Vectors (2)
41. Orthogonal Projections (1)
42. Orthogonal Projections (2)
43. Least Squares Approximations and Orthogonal Projection Matrices
44. Orthogonal Matrices and Operators
45. Symmetric Matrices (1)
46. Symmetric Matrices (2)
47. Symmetric Matrices (3)
48. Symmetric Matrices (4)
49. Vector Spaces and Their Subspaces (1)
50. Vector Spaces and Their Subspaces (2)
51. Vector Spaces and Their Subspaces (3)
52. Vector Spaces and Their Subspaces (4)
53. Linear Transformation (1)
54. Linear Transformation (2)
55. Linear Transformation (3)
56. Basis and Dimension (1)
57. Basis and Dimension (2)
58. Basis and Dimension (3)
59. Matrix Representations of Linear Operators (1)
60. Matrix Representations of Linear Operators (2)
61. The Matrix Representations of the Inverse of an Invertible Linear Operator (1)
62. The Matrix Representations of the Inverse of an Invertible Linear Operator (2)
63. Eigenvalues and Eigenvectors of a Matrix Representations of a Linear Operator
64. Inner Product Spaces (1)
65. Inner Product Spaces (2)
66. Inner Product Spaces (3)
67. Inner Product Spaces (4)
68. Inner Product Spaces (5)
Orthogonal Matrices and Operators
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