週次 | 課程內容 | 課程影音 | 課程下載 |
---|---|---|---|
第一章 Vector Space 1.1 Introduction | 線上觀看 | MP4下載 | |
1.2 Vector Space | 線上觀看 | MP4下載 | |
1.3 Subspaces(子空間) | 線上觀看 | MP4下載 | |
1.4 Linear Combinations and Systems of Linear Equations | 線上觀看 | MP4下載 | |
1.5 Linear Dependence and Linear Independence | 線上觀看 | MP4下載 | |
1.6 Bases and Dimension (基底和維度) | 線上觀看 | MP4下載 | |
第二章 Linear Transformations and Matrices 2.1 Linear Transformations, Null spaces, and ranges | 線上觀看 | MP4下載 | |
2.2 The Matrix Representation of a Linear Transformation | 線上觀看 | MP4下載 | |
2.3 Composition of Linear Transformation and Matrix Multiplication | 線上觀看 | MP4下載 | |
2.4 Invertibility and Isomorphisms ※詳見勘誤表-1 | 線上觀看 | MP4下載 | |
2.5 The Change of Coordinate Matrix | 線上觀看 | MP4下載 | |
第三章 Elementary Matrix Operations and Systems of Linear Equations 3.1 Elementary Matrix Operations and Elementary Matrices | 線上觀看 | MP4下載 | |
3.2 The Rank of a Matrix and Matrix Inverses | 線上觀看 | MP4下載 | |
3.3 Systems of Linear Equations-Theoretical Aspects | 線上觀看 | MP4下載 | |
3.4 Systems of Linear Equations-Computational Aspects | 線上觀看 | MP4下載 | |
第四章 Determinants 4.1 Determinants of Order 2 | 線上觀看 | MP4下載 | |
4.2 Determinants of Order w | 線上觀看 | MP4下載 | |
4.2 Determinants of Order w-補充 | 線上觀看 | MP4下載 | |
4.3 Properties of Determinants | 線上觀看 | MP4下載 | |
4.4 Summary-Important Facts About Determinants | 線上觀看 | MP4下載 | |
4.5 A Characterization of the Determinant | 線上觀看 | MP4下載 |