Linear Systems - Computational Linear Algebra
Channel: Nick Space Cowboy
Date: 2021-11-15

This video is the first of many in my series on the topic of Computational Linear Algebra. This is the introductory video so it is all about the linear system. Linear systems are the backbone of linear algebra so many may already be familiar with Linear Systems. In this video we walk through very briefly how to solve a linear system by hand using Gaussian Elimination. Then we dive into two computational examples using the octave and python programming languages. Understanding how to solve a linear system computationally in one of these languages will be crucial in further understanding higher level concepts in Computational Linear Algebra.

The code for these two examples can be found here:
Github: 
https://github.com/nkphysics/Computational-Linear-Algebra-/tree/master/Unit1/1_Introduction

Chapters:
0:00 - Intro
1:00 - Preface (You can skip this if you aren't interested in my goals for the series of Computational Linear Algebra)
2:13 - Solving by hand with Gaussian Elimination
3:30 - Ex 1, Solving a 10x10 system
7:00- Ex 2, Solving a 1000x1000 system
9:20 - Closing Remarks

This video is also on Odysee:
https://odysee.com/@Nick_Kooch:9/CLA_1-LinearSystem:9?r=Dj9BkmDFFBBUUGVnA5WY4fWU6D8YRQz5