本課程是必修線性代數（一）（二）的延伸進階課程。線性代數是處理多變量問題的基礎工具，在理論分析或數值計算的層面上都是。本課程教授的對象是:
1. 計劃往量子計算相關領域學習的同學（本課程是『量子計算與量子資訊』的預備課程）；
2. 計劃進入數學或工程研究所的同學；
以上兩類同學建議修本課程。
本課程的學習目標是：
0. 快速複習並整合線性代數（一）（二）的內容： 線性方程式與矩陣、行列式、特徵值；
1. 學習向量空間、線性算子與矩陣表示；
2. 學習內積空間；
3. 學習線性算子的分解與標準形；

This course is an extended and advanced course for the compulsory linear algebra (I) and (II). Linear algebra is a basic tool for dealing with multi-variable problems, either at the level of theoretical analysis or numerical calculations. This course teaches:
1. Students who plan to study in fields related to quantum computing (this course is a preparatory course for "Quantum Computing and Quantum Information");
2. Students who plan to enter graduate school in mathematics or engineering;
The above two types of students are recommended to take this course.
The learning objectives of this course are:
0. Quickly review and integrate the content of linear algebra (1) (2): linear equations, matrices, determinants, and eigenvalues;
1. Learn vector spaces, linear operators and matrix representations;
2. Learn the inner product space;
3. Learn the decomposition and standard form of linear operators;

1. 線性代數, 陳福坤 編譯, 2021, 高立書局。（以下參考書籍2.之中譯本)。
2. Elementary Linear Algebra, Applications Version, 12/e, Howard Anton, Chris Rorres, Anton Kaul, 2019.

1. Linear Algebra, compiled by Chen Fukun, 2021, Gao Li Book Company. (The following refers to book 2. Chinese translation).
2. Elementary Linear Algebra, Applications Version, 12/e, Howard Anton, Chris Rorres, Anton Kaul, 2019.