借由課程中抽象觀念的建立、定理的陳述分析、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、推演、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, theorem description analysis, the logical thinking and deduction training of the instructing process, and the practice of application topics, students' understanding, analysis, organization, deduction, application and other abilities can be improved, and further cultivate students' ability to think independently and solve problems.

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 : Linear Algebra ( 3rd ) ; Friedberg、Insel、Spence ; 新月圖書。


參考書 :
1. Elementary Linear Algebra Application Version(10th) ; Anton、Rorres ; 新月圖書。

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

3. 線性代數；游士賢；立功書局。

Textbook: Linear Algebra ( 3rd ); Friedberg, Insel, Spence; Crescent Book.


Reference book:
1. Elementary Linear Algebra Application Version(10th); Anton, Rorres; Crescent Book.

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

3. Linear generations; traveling scholars; making meritorious books.