---
tags: Linear Algebra, NCTU OCW, 莊重
---

# Lecture 1

|book name|version|note|year|ref|
|---|---|---|---|--|
|Gilbert Strange|4| Applications | 2006 | have OCW
|Hoffman and Krunge|2|Theoretical|1971|Bible but old, e.g. lacks $\text{SVD}$ |
|S. Friedberg, A. Insel and L. Spence|4|Theoretical|2003|course

Linear algebra, distinct from other aspects of mathematics such as analysis, is a subject that would grow with time, influence other subjects, and grow. Such examples include $\text{SVD}$. As a result, old books may be good, but not necessarily fit our requirements.

__線性函數 on Vector Space__

Our focus is on __finite dimensional vector space__ during this class. Later, as we shall see, any such space is highly related to __matrices__: linear functions could be represented as matrices, and vice versa.

## Some Applications

- 微分方程
- 動態系統
- 微分幾何
- 機率
- SIAM
- Matrix analysis and applications