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。

To gain a solid concept of linear algebra – theories and applications. Chapter 4. Inner Product Spaces Chapter 7. Eigenvalues and Eigenvectors Chapter 5. Linear Transformations and Matrices Chapter 8. Applications of Eigenvalues and Eigenvectors

Textbook: Elementary Linear Algebra with Applications by Bernard Kolman & David Hill (9 edition).