# Notes-for-Reviewing-Linear-Algebra

**Repository Path**: blackender/Notes-for-Reviewing-Linear-Algebra

## Basic Information

- **Project Name**: Notes-for-Reviewing-Linear-Algebra
- **Description**: No description available
- **Primary Language**: Python
- **License**: Not specified
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2022-01-27
- **Last Updated**: 2022-07-29

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

# Notes-for-Reviewing-Linear-Algebra

本人重新复习Linear Algebra课程的笔记信息：

## I. Overview

### What to learn?

$  \mbox{What input?} \to \mbox{Linear System} \to \mbox{Desired Output} $

### Chapter 1&2

给定output和linear system，求解input

1. Solution? (是否有解？)
2. Unique solution? (解是唯一的吗？)
3. How to find it? (如何求解？)

### Chapter 3

* 介绍Determinant（行列式）

### Chapter 4

Vector set描述

* subspace
* basis
* dimension

$  \mbox{Vector set 1} \to \mbox{Linear System} \to \mbox{Vector set 2} $

$\Downarrow 改变描述$

$ \mbox{Simpler input} \to \mbox{Simpler Linear System} \to \mbox{Simpler output} $

### Chapter 5

* Eigenvector (特征向量)
* Eigenvalue (特征值)
* ...

### Chapter 7

$  \mbox{No answer(无解)} \to \mbox{Approximation(近似解)} $

### Chapter 6

Vector无处不在

## II. Details

1. [Chapter 01](Chapter01/Chapter01.md)
    1. [Linear System](Chapter01/1-LinearSystem.md)
    2. [Vector](Chapter01/2-Vector.md)
    3. [System of Linear Equations](Chapter01/3-SystemofLinearEquations.md)
    4. [Matrix](Chapter01/4-Matrix.md)
    5. [Some Special Matrice](Chapter01/5-SomeSpecialMatrice.md)
    6. [Matrix-Vector Product](Chapter01/6-MatrixVectorProduct.md)
    7. [Solution of System of Linear Equation](Chapter01/7-SolutionofSystemofLinearEquation.md)
    8. [Linear Combination](Chapter01/8-LinearCombination.md)