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# System prepended metadata

title: Linear Algebra
tags: ['teach:MF']

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---
title: Linear Algebra
tags: teach:MF
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# Quick review on linear algebra


## Basics

線性代數? 

*矩陣*是給定一組基底下，*線性變換*的表示式。

Column space?
 
Row space?

Rank of column space and row space?

## Advanced topics:

## Singular value decomposition 

1. Singular value decomposition, a matrix $X$ of size $X$ can be decompose as 
$$X = U D V',$$
where . 


## Eigen decomposition

2. Eigen decomposition. 

For a square matrix, $X$, $X = V\Lambda V'$. 


