110年第2學期-1577 線性代數（二） 課程資訊

評分方式

評分項目	配分比例	說明
Class attendance and unannounced small quizzes	20
Quizzes and/or Homework assignments	35
Midterm	20
Final	25

教育目標

To gain a solid concept of linear algebra – theories and applications1. Real Vector Spaces (Review) a. Homogeneous Systems b. Coordinates c. Rank of a Matrix 2. Inner Product Spaces a. Inner Product Spaces (Generalized Cases) b. Gram-Schmidt Process c. Orthogonal Complements 3. Eigenvalues and Eigenvectors a. Eigenvalues and Eigenvectors b. Diagonalization and Similar Matrices c. Diagonalization of Symmetric Matrices 4. Spectral Decomposition and Singular Value Decomposition

課程概述

本課程為進階課程，課程著重於廣義向量空間、子空間與內積向量空間的特性及其相關應用，包括：向量空間的同構、向量空間之線性轉移、矩陣反矩陣、函數反函數、矩陣的對角線化、向量的正交性等問題的性質及其相關應用。

基本資料

必修課，學分數：0-3
上課時間：二/6,7,8[M117] 三/6[M232]
修課班級：統計系1B
修課年級：年級以上
選課備註：人工加選

參考書目

Elementary Linear Algebra With Applications by Bernard Kolman & David R. Hill ISBN-13 : 978-0-13-135063-2
Linear Algebra: A Modern Introduction by David Pooles ISBN-13: 978-0538735452
Linear Algebra by Stephen H. Friedberg, Arnold J. Insel, & Lawrence E. Spence ISBN-13: 978-0130084514
Linear Linear Algebra With Applications by Gareth Williams ISBN-13: 978-1449679545
Linear Algebra: An Introduction Richard Bronson by Gabriel B. Costa ISBN-13: 978-0120887842
Elementary Linear Algebra with Applications by Howard Anton & Chris Rorres ISBN-13: 978-0471669593
Linear Algebra by Kenneth & Kunze & Ray Hoffman ISBN-13: 978-8120302709