線性代數
Linear Algebra
| 節 | 週五 |
|---|---|
1 08:00–08:50 | 線性代數 2 節連堂 |
2 09:00–09:50 | |
6 14:20–15:10 | 線性代數 |
* 根據陽明交大上課時間表所列
理解矩陣、行列式、向量空間、線性變換、特徵值與特徵向量等核心概念。熟悉解線性方程組的方法與理論基礎,能運用於數學與工程問題。認識內積空間、正交化、奇異值分解 (SVD) 等進階理論。
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| 週次 | 主題 |
|---|---|
| 第 1 週 | week1:Basic Concepts on Matrices and Vectors(1) |
| 第 2 週 | week2:Basic Concepts on Matrices and Vectors(2) |
| 第 3 週 | week3:System of Linear Equations |
| 第 4 週 | week4:Gaussian Elimination |
| 第 5 週 | week5:The language of set theory |
| 第 6 週 | week6:Span of a Set of Vectors |
| 第 7 週 | week7:Linear Dependence and Linear Independence |
| 第 8 週 | week8:The Inverse of a Matrix |
| 第 9 週 | week9:Linear Transformations and Matrices |
| 第 10 週 | week10:Composition and Invertibility of Linear Transformations |
| 第 11 週 | week11:Determinants |
| 第 12 週 | week12:Basis and Dimension |
| 第 13 週 | week13:Eigenvalues, Eigenvectors, and Diagonalization |
| 第 14 週 | week14:The Characteristic Polynomial |
| 第 15 週 | week15:Diagonalization of Matrices |
| 第 16 週 | week16:Orthogonal Vectors week17:Symmetric Matrices week18:Vector Spaces and Their Subspaces |
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