| 週次 |
授課內容 |
| 第1週 |
3.4 (2.2, 2.3) linear transformations, null spaces and ranges |
| 第2週 |
3.4 (2.2, 2.3) linear transformations, null spaces and ranges
|
| 第3週 |
3.3 coordinatization of vectors
7.1 coordinatization and change of basis
|
| 第4週 |
3.4 (2.3) linear transformations, matrix representation
|
| 第5週 |
3.4 (2.3) linear transformations, addition, composition |
| 第6週 |
3.4 (2.3) linear transformations, invertibility and isomorphisms
|
| 第7週 |
2.2 the rank of a matrix
5.1 eigenvalues and eigenvectors, similarity, characteristic polynomial |
| 第8週 |
5.1 invariant subspaces
5.2 (7.2) diagonalization |
| 第9週 |
期中考 |
| 第10週 |
5.3 applications of diagonalization |
| 第11週 |
* projection operations
* nilpotent |
| 第12週 |
* cyclic subspaces and Cayley-Hamilton theorem
9.4 Jordan form |
| 第13週 |
9.2 matrices and vector spaces with complex scalars
3.5 inner product spaces |
| 第14週 |
6.2 Gram-Schmit process
6.1 (6.4) orthogonal projection |
| 第15週 |
6.3 orthogonal matrix, unitary matrix
|
| 第16週 |
期末考 |
自主學習
內容 |
課程相關教材/影片 |