借由課程中抽象觀念的建立、定理的陳述分析、計算問題的解題方法、証明過程的邏輯思考與推演的訓練，暨應用題目的演練，使學生的理解、分析、組織、歸納、關聯、推演與應用等能力得以提昇，更進而培養學生獨立思考、解決問題的能力。

Through the establishment of abstract concepts in the course, the descriptive analysis of theorems, the solution methods of calculation problems, the logical thinking and deduction training of the identification process, and the practice of application questions, students' understanding, analysis, organization, study, association, deduction and application abilities can be improved, and students' ability to think independently and solve problems can be further cultivated.

本課程藉由瞭解線性聯立方程式的過程，介紹各項向量與矩陣的運算，並建立向量空間的概念。從靜態與動態的觀點，解析相關之線性轉換與相關之矩陣代表式和更換基底與如何選取好的基底之運算。為使同學們深入瞭解各項理論與運算，在課堂上會介紹線性代數在工程、資訊、經濟、生物等之運用實例。

This course introduces the calculation of each vector and matrix by understanding the process of linear cubes, and establishes the concept of vector space. From the perspective of static and dynamic, analyze the related linear conversion and related matrix representation and the calculation of changing the substrate and how to choose a good substrate. In order to enable students to understand various theoretical and computing in depth, examples of linear aging in engineering, information, economy, biology, etc. will be introduced in the classroom.

教科書: Elementary Linear Algebra Applications Version(10th); Anton, Rorres; 新月圖書

參考書:

1. Linear Algebra(4th): Friedberg, Insel, Spence; 新月圖書

2. Elementary Linear Algebra with Application(2nd); Nicholson; 新月圖書

Textbook: Elementary Linear Algebra Applications Version(10th); Anton, Rorres; Crescent Moon Book

Reference book:

1. Linear Algebra(4th): Friedberg, Insel, Spence; Crescent Book

2. Elementary Linear Algebra with Application(2nd); Nicholson; Crescent Book