本課程教授基本之矩陣與向量的各項運算，向量空間的結構和在經濟、統計、工程等各領域的應用。
期能強化學生們的數理推導能力、數學寫作方法與抽象化和一般化之重要性，強調每一個數理推論步驟。
修習本課後有足夠專業能力處理一般和線性系統相關的計算，也有足夠的基礎進而修習進階之統計專業課程，如多變量分析與線性模型。
此課程為一學年課程而下學期包含一下內容:

1. Further concepts in vector spaces: basis and dimension, rank, coordinates
2. Inner product spaces
3. Linear transformation
4. Eigenvalues and Eigenvectors

This course teaches basic matrices and various calculations of vectors, the structure of vector space and the application in various fields such as economy, statistics, and engineering.
In the future, we can enhance students' mathematical guidance ability, mathematical writing methods, abstraction and generalization, and emphasize each mathematical recommendation step.
After taking this course, you will have sufficient professional ability to handle calculations related to linear systems, and you will also have sufficient basic and advanced statistical professional courses, such as multi-variable analysis and linear model.
This course is an annual course and the following period includes the following content:

1. Further concepts in vector spaces: basis and dimension, rank, coordinates
2. Inner product spaces
3. Linear transformation
4. Eigenvalues ​​and Eigenvectors

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。

This course is an advanced course. The course focuses on the characteristics and related applications of broad vector space, subspace and internal vector space, including: the synonym of vector space, linear shift of vector space, matrix inverse function, function inverse function, the angular linearization of matrix, vector orthogonality and other problems.

教科書: Elementary Linear Algebra 8/E
作(編/譯)者 : LARSON 出版年份 : 2017
ISBN : 9781337556217
書號 : BX0165
發行公司 : CENGAGE
英文書名中譯 : 線性代數

參考書: Elementary Linear Algebra with Applications, 作者 Bernard Kolman (Author), David Hill (Author)

Textbook: Elementary Linear Algebra 8/E
Writer (editor/translation) by: LARSON Publication Year: 2017
ISBN: 9781337556217
Book number: BX0165
Distribution Company: CENGAGE
English book name translation: Linear generation

Reference: Elementary Linear Algebra with Applications, by Bernard Kolman (Author), David Hill (Author)