Gauss Elimination Example 3 | 3x3 Matrix | Numerical Methods

In this Gauss elimination example video we are going to be solving a 3x3 matrix using Gauss elimination. Gauss Elimination is a way to reduce our augmented matrix into an upper triangular matrix to make solving systems of linear equations much easier!

This timeline is meant to help you better understand how to use Gauss elimination to solve a 3x3 matrix:
0:00 Introduction
0:42 Using Gauss elimination to solve a 3x3 matrix
6:18 Outro

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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc..
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[abdashubdoosh]

Im confused as why pivoting didn't take place, rather you went straight into gauss elimination.
I assumed pivoting would always be used but is there a certain condition for when pivoting should take place first?

[JohanGil]

Your validations don't check out... z=2/3; y=8/3; x=-5/3