---
title: Linear Algebra
tags: teach:MF
---

# 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, $X$, $X = V\Lambda V'$.