線性代數是處理多變量問題的最基本的工具，不僅在學術研究非常重要，其應用的範圍從資訊，統計，工程，經濟乃至於管理，幾乎涵蓋所有的應用領域。線性代數的本質是矩陣分析。本課程是基礎線性代數的延伸課程，研究的對象是矩陣，其目標如下：
1. 學習依據矩陣的重要性質為矩陣分類。
2. 學習以最簡形式作為同類矩陣的代表。
3. 在性質不變的情況下，學習將複雜的矩陣化簡為形式簡單的矩陣。

Linear algebra is the most basic tool for dealing with multi-variable problems. It is not only very important in academic research, but its application ranges from information, statistics, engineering, economics and even management, covering almost all application fields. The essence of linear algebra is matrix analysis. This course is an extension of basic linear algebra. The object of study is matrices. Its objectives are as follows:
1. Learn to classify matrices based on their important properties.
2. Learn to represent similar matrices in their simplest form.
3. Under the condition that the properties remain unchanged, learn to reduce complex matrices into matrices with simple forms.

1. Roger A. Horn and Charles R. Johnson, Matrix Analysis, Cambridge Univesity Press, 1985.
2. Roger A. Horn and Charles R. Johnson, Topics in Matrix Analysis, Cambridge Univesity Press, 1991.

1. Roger A. Horn and Charles R. Johnson, Matrix Analysis, Cambridge University Press, 1985.
2. Roger A. Horn and Charles R. Johnson, Topics in Matrix Analysis, Cambridge University Press, 1991.