*This video generalises the LU-decomposition from before to non-square matrices where also row exchanges could be needed. This means that the PLU decomposition is the general procedure to apply the Gaussian elimination in a closed matrix form.*

#### PLU decomposition - An Example

The PLU decomposition for non-square matrices will be explained with the help of an example. Essentially the whole procedure is the well-known Gaussian elimination but here we also save all the steps in two matrices. The permutation matrix $P$ is only used to store row exchanges.

###### Content of the video:

0:00 Introduction

1:13 Example

2:00 Row exchange

2:30 Gaussian elimination

4:20 Next row exchange

5:45 Last step

#### Summary of the course PLU decomposition - An Example

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