課程資訊

Engineering Mathematics-linear Algebra

100-2

EE1002

901 10030

04

https://ceiba.ntu.edu.tw/992linearAlgebra_Su

(1) 矩陣(Matrices)、向量(Vectors)、與系統方程式(Systems of Linear Equations)：

(2) 矩陣與線性轉換(Linear Transformation)及行列式(Determinants)

(3) 子空間 (Subspaces)

(4) 特徵向量與特徵值(Eigenvalues and Eigenvectors)

(5) 正交(Orthogonality)

(6) 向量空間 (Vector Spaces)

Office Hours

(僅供參考)

 No. 項目 百分比 說明 1. 小考-1 15% 2. 期中考 35% 3. 小考-2 15% 4. 期末考 35%

 課程進度
 週次 日期 單元主題 第7週 4/4, 4/5 清明節、溫書假 第18週 6/20 Final exam (4.4, 4.5, 5.1, 5.2, 5.3, 6.1~6.6, 7.1~7.5) 第1-1週 2/22 Introduction
(1.1) Matrices and Vectors
(1.2) Linear Combinations, Matrix-Vector Product 第1-2週 2/23 (1.3) Systems of Linear Equations

(1.6) Span of Vectors 第2-2週 3/1 (1.6) Span of a set of vectors
(1.7) Linear Independence 第3-1週 3/7 (1.7) Linear Independence
(2.1) Matrix Multiplication

(2.4) Invertible Matrices 第4-2週 3/15 (2.7) Linear Transformation

(2.8) Invertibility of Linear Transformations

Chapter 4 Subspaces and their properties 第8-1週 4/11 (4.2) Basis and Dimension
(4.3) Subspaces associated with a matrix

(4.3) Dimension of Subspaces associated with a matrix
(4.4) Coordinate Systems 第9-1週 4/18 Midterm 第9-2週 4/19 (4.4) Coordinate Systems
(4.5) Matrix Representation of Linear Transformations 第10-1週 4/25 (4.5) Matrix Representation
(5.1) Eigenvectors and Eigenvalues
(5.2) Characteristic Polynomials 第10-2週 4/26 (5.2) Characteristic Polynomials

(5.5) Applications for diagonalization. 第12-1週 5/9 (6.1) Geometry of Vectors
(6.2) Orthogonal Set 第12-2週 5/10 (6.2) Orthogonal sets
(6.3) Orthogonal projection 第13-1週 5/16 (6.3) Orthogonal Projections 第13-2週 5/17 (6.4) Least Square Approximation 第14-1週 5/23 (6.5) Orthogonal Matrices 第14-2週 5/24 Quiz #2: Sec. 4.4, 4.5, 5.1, 5.2, 5.3, 6.1, 6.2, 6.3, 6.4. 第15-1週 5/30 (6.6) Symmetric Matrices;
(7.1) Vector spaces: definition 第15-2週 5/31 (7.1) Vector spaces and their subspaces

(7.2) Linear Transformations
(7.3) Basis and Dimension

(7.4) Matrix Representation of Linear Operators 第16-3週 6/7 (7.4) Matrix Representation of Linear Operators 第17-0週 6/13 原訂上午的課程因故無法上課。兩個小時的課程分成兩次補課，分別為6/6(三)第9節，以及6/13(三)第9節(皆為5:30~6:20pm)補課。 第17-1週 6/13 (下午) (7.4) Matrix Representation of Linear Operators (7.5) Inner Product Spaces 第17-2週 6/14 (7.5) Inner Product Spaces