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。

Objectives: Provide students required tools and knowledge to solve the problems in linear algebra. Contents: Basic results and applications in linear algebra, including the system of linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues, and eigenvectors.

Textbook: Elementary Linear Algebra, by R. Larson.