# linear-algebra-notes

**Repository Path**: Trae_Young_Zhao/linear-algebra-notes

## Basic Information

- **Project Name**: linear-algebra-notes
- **Description**: No description available
- **Primary Language**: Unknown
- **License**: Not specified
- **Default Branch**: master
- **Homepage**: None
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## Statistics

- **Stars**: 0
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- **Created**: 2025-01-18
- **Last Updated**: 2025-01-18

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## README

# Linear Algebra notes
> MIT 18.06 线性代数笔记
>
> 视频地址：[网易公开课](http://open.163.com/special/opencourse/daishu.html)
>
> 课程信息：[MIT 公开课课程网站-18.06 线性代数](https://ocw.mit.edu/courses/mathematics/18-06sc-linear-algebra-fall-2011/index.htm)

### 目录

#### Unit 1

* Lec01-方程组的几何解释: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec01/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec01-%E6%96%B9%E7%A8%8B%E7%BB%84%E7%9A%84%E5%87%A0%E4%BD%95%E8%A7%A3%E9%87%8A.pdf)
* Lec02-矩阵消元: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec02/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec02-%E7%9F%A9%E9%98%B5%E6%B6%88%E5%85%83.pdf)
* Lec03-乘法和逆矩阵: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec03/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec03-%E4%B9%98%E6%B3%95%E5%92%8C%E9%80%86%E7%9F%A9%E9%98%B5.pdf)
* Lec04-A的LU分解: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec04/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec04-A%E7%9A%84LU%E5%88%86%E8%A7%A3.pdf)
* Lec05-转置、置换和向量空间 R: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec05/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec05-%E8%BD%AC%E7%BD%AE%E3%80%81%E7%BD%AE%E6%8D%A2%E5%92%8C%E5%90%91%E9%87%8F%E7%A9%BA%E9%97%B4%20R.pdf)
* Lec06-列空间和零空间: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec06/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec06-%E5%88%97%E7%A9%BA%E9%97%B4%E5%92%8C%E9%9B%B6%E7%A9%BA%E9%97%B4.pdf)
* Lec07-求解 Ax=0：主变量，特解: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec07/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec07-%E6%B1%82%E8%A7%A3%20Ax%3D0%20%EF%BC%9A%E4%B8%BB%E5%8F%98%E9%87%8F%EF%BC%8C%E7%89%B9%E8%A7%A3.pdf)
* Lec08-求解 Ax=b ：可解性和解的结构: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec08/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec08-%E6%B1%82%E8%A7%A3%20Ax%3Db%20%EF%BC%9A%E5%8F%AF%E8%A7%A3%E6%80%A7%E5%92%8C%E8%A7%A3%E7%9A%84%E7%BB%93%E6%9E%84.pdf)
* Lec09-线性相关性、基和维数: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec09/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec09-%E7%BA%BF%E6%80%A7%E7%9B%B8%E5%85%B3%E6%80%A7%E3%80%81%E5%9F%BA%E5%92%8C%E7%BB%B4%E6%95%B0.pdf)
* Lec10-四个基本子空间: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec10/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec10-%E5%9B%9B%E4%B8%AA%E5%9F%BA%E6%9C%AC%E5%AD%90%E7%A9%BA%E9%97%B4.pdf)
* Lec11-矩阵空间、秩 1 矩阵和小世界图: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec11/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec11-%E7%9F%A9%E9%98%B5%E7%A9%BA%E9%97%B4%E3%80%81%E7%A7%A9%201%20%E7%9F%A9%E9%98%B5%E5%92%8C%E5%B0%8F%E4%B8%96%E7%95%8C%E5%9B%BE.pdf)
* Lec12-图和网络: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec12/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec12-%E5%9B%BE%E5%92%8C%E7%BD%91%E7%BB%9C.pdf)
* Lec13-复习一: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec13/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/lecture-summary/18.06SC%20Unit%201%20Exam%20Solutions.pdf)
* Unit 1 Exam & Solutions: [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/lecture-summary/18.06SC%20Unit%201%20Exam%20Solutions.pdf)

#### Unit 2

* Lec14-正交向量与子空间: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec14/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec14-%E6%AD%A3%E4%BA%A4%E5%90%91%E9%87%8F%E4%B8%8E%E5%AD%90%E7%A9%BA%E9%97%B4.pdf)
* Lec15-子空间投影: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec15/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec15-%E5%AD%90%E7%A9%BA%E9%97%B4%E6%8A%95%E5%BD%B1.pdf)
* Lec16-投影矩阵和最小二乘法: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec16/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec16-%E6%8A%95%E5%BD%B1%E7%9F%A9%E9%98%B5%E5%92%8C%E6%9C%80%E5%B0%8F%E4%BA%8C%E4%B9%98%E6%B3%95.pdf)
* Lec17-正交矩阵和 Gram-Schmidt 正交化: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec17/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec17-%E6%AD%A3%E4%BA%A4%E7%9F%A9%E9%98%B5%E5%92%8C%20Gram-Schmidt%20%E6%AD%A3%E4%BA%A4%E5%8C%96.pdf)
* Lec18-行列式及其性质: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec18/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec18-%E8%A1%8C%E5%88%97%E5%BC%8F%E5%8F%8A%E5%85%B6%E6%80%A7%E8%B4%A8.pdf)
* Lec19-行列式公式和代数余子式: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec19/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec19-%E8%A1%8C%E5%88%97%E5%BC%8F%E5%85%AC%E5%BC%8F%E5%92%8C%E4%BB%A3%E6%95%B0%E4%BD%99%E5%AD%90%E5%BC%8F.pdf)
* Lec20-克拉默法则、逆矩阵、体积: [Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec20/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec20-%E5%85%8B%E6%8B%89%E9%BB%98%E6%B3%95%E5%88%99%E3%80%81%E9%80%86%E7%9F%A9%E9%98%B5%E3%80%81%E4%BD%93%E7%A7%AF.pdf)
* Lec21-特征值和特征向量：[Blog](https://rqtn.github.io/mit-18.06/mit-18.06-lec21/) | [Github-PDF](https://github.com/RQTN/linear-algebra-notes/blob/master/notes/Lec21-%E7%89%B9%E5%BE%81%E5%80%BC%E5%92%8C%E7%89%B9%E5%BE%81%E5%90%91%E9%87%8F.pdf)

### 他人笔记

* [apachecn 18.06-linalg-notes Github](https://github.com/apachecn/18.06-linalg-notes)
* [Paul-Huang MIT 线性代数读书笔记 CSDN](https://blog.csdn.net/huang1024rui/article/details/54705774)