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, the statement and analysis of theorems, the training of logical thinking and deduction in the proof process, and the practice of application questions in the course, students' abilities of understanding, analysis, organization, deduction, application, etc. can be improved, and students' ability to think independently and solve problems can be further developed.

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 of generalized vector spaces, subspaces and inner product vector spaces and their related applications, including: the isomorphism of vector spaces, linear transfer of vector spaces, inverse matrices of matrices, inverse functions of functions, diagonalization of matrices, orthogonality of vectors, and their related applications.

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。

Textbooks: Linear Algebra (3rd); Friedberg, Insel, Spence; Crescent Books.


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

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

3. Linear algebra; You Shixian; Ligong Bookstore.