線性代數
Linear Algebra
| 節 | 週四 |
|---|---|
5 13:20–14:10 | 線性代數 MB520（光復） 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
說明線性代數之基本觀念及相關之定理與運算，使學習者建立運用線性代數解決有關工程與管理問題之基礎。 In this course on Linear Algebra we introduce the basic concept and how it relates to vectors and matrices. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems.
無 n.a.
無備註
課堂講解為主，並輔助以助教習作課程，相關教學資料提供於New e3數位教學平台：https://e3new.nctu.edu.tw/。 In class lecture. Extra sources would be uploaded to e3.
(1) 第一次期中考：30% (範圍：Chap 1-Chap 3) (2) 第二次期中考：30% (範圍：Chap 4-Chap 5) (3) 期末考：40% (範圍：Chap 6-Chap 7) (1) 1st Mid Exam: 30% (Contents: Chap 1-Chap 3) (2) 2nd Mid Exam: 30% (Contents: Chap 4-Chap 5) (3) Final Exam: 40% (Contents: Chap 6-Chap 7)
I. System of Linear Equations
1. Introduction to Systems of Linear Equations 2. Gaussian Elimination
- 講授：
- 3
II. Matrices
1. Matrix Operations 2. Properties of Matrix Operations 3. The Inverse of a Matrix 4. Elementary Matrices
- 講授：
- 6
III. Determinants
1. The Determinant of a Matrix 2. Evaluation of a Determinant 3. Properties of Determinants
- 講授：
- 3
IV. Vector Spaces
1. Vectors in R^n 2. Vector Spaces 3. Subspaces of Vector Spaces 4. Spanning Sets and Linear Independence 5. Basis and Dimension 6. Rank of a Matrix 7. Coordinates and Change of Basis
- 講授：
- 11
V. Inner Product Spaces
1. Length and Dot Product 2. Inner Product Spaces 3. Orthogonal Basis
- 講授：
- 4
VI. Linear Transformations
1. Introduction to Linear Transformation 2. Kernel and Range 3. Matrices for Linear Transformations 4. Transition Matrices and Similarity
- 講授：
- 9
VII. Eigenvalues and Eigenvectors
1. Eigenvalues and Eigenvectors 2. Diagonalization 3. Symmetrical Matrices and Orthogonal Diagonalization
- 講授：
- 6
| 週次 | 主題 |
|---|---|
| 第 1 週 | 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian Elimination 2026-02-26(四) |
| 第 2 週 | 2.1 Operations with Matrices 2.2 Properties of Matrix Operations 2026-03-05(四) |
| 第 3 週 | 2.3 The Inverse of a Matrix 2.4 Elementary Matrices 2026-03-12(四) |
| 第 4 週 | 3.1 The Determinant of a Matrix 3.2 Evaluation of a Determinant Using Elementary Operations 3.3 Properties of Determinants 2026-03-19(四) |
| 第 5 週 | 第一次期中考 （範圍：Chap 1-Chap 3） 1st Mid Exam (Contents: Chap 1-Chap 3) 2026-03-26(四) |
| 第 6 週 | University activity week (no class) 2026-04-02(四) |
| 第 7 週 | 4.1 Vectors in R^n 4.2 Vector Spaces4.3 Subspaces of Vector Spaces 2026-04-09(四) |
| 第 8 週 | 4.3 Subspaces of Vector Spaces 4.4 Spanning Sets and Linear Independence 4.5 Basis and Dimension 2026-04-16(四) |
| 第 9 週 | 4.6 Rank of a Matrix 4.7 Coordinates and Change of Basis 5.1 Length and Dot Product 2026-04-23(四) |
| 第 10 週 | 5.2 Inner Product Spaces 5.3 Orthogonal Basis 2026-04-30(四) |
| 第 11 週 | 第二次期中考 （範圍：Chap 4-Chap 5） 2nd Mid Exam (Contents: Chap 4-Chap 5) 2026-05-07(四) |
| 第 12 週 | 6.1 Introduction to Linear Transformation 6.2 Kernel and Range 2026-05-14(四) |
| 第 13 週 | 6.3 Matrices for Linear Transformations 6.4 Transition Matrices and Similarity 2026-05-21(四) |
| 第 14 週 | 7.1 Eigenvalues and Eigenvectors 7.2 Diagonalization 2026-05-28(四) |
| 第 15 週 | 7.3 Symmetrical Matrices and Orthogonal Diagonalization 2026-06-04(四) |
| 第 16 週 | 期末考 （範圍：Chap 6-Chap 7） Final Exam (Contents: Chap 6-Chap 7) 2026-06-11(四) |
Ron Larson, Cengage, 8th Edition, 2015 (高立圖書）.
- 地點
- 各授課教師另行公佈 (TBA)
- 時間
- 各授課教師另行公佈 (TBA)
- 聯絡方式
- 各授課教師另行公佈 (TBA)