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There is a whole video series about Linear Algebra you should watch to understand the importance of the subject. I hope that it will help everyone who wants to learn about it.

This video is about the LU decomposition for square matrices. I show the algorithm with the help of an example.

I hope that it will help everyone who wants to learn about it. We discuss the whole Gauss algorithm for the LU decomposition. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: https://tbsom.de/s/community

#LinearAlgebra
#matrices
#Analysis
#linear
#Calculus
#Measures
#Mathematics

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0:00 Introduction
0:33 Example
1:45 First step
2:41 Eliminating the first column
5:35 Eliminating the second column
7:10 Eliminating the third column
7:38 LU decomposition

(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start