How to Use Gauss-Jordan Elimination to Solve Systems of Linear Equations
In this video, I’ll walk you through the step-by-step process of using Gauss-Jordan elimination to solve systems of linear equations. This powerful method simplifies complex systems into a form where solutions become clear and easy to interpret. Whether you're tackling two-variable equations or more advanced systems, Gauss-Jordan elimination is an essential technique in linear algebra.
📌 What You’ll Learn:
- The fundamentals of the Gauss-Jordan elimination method
- How to transform a system into its row echelon form
- How to identify and solve for variables using back substitution
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Timestamps for Easy Navigation:
0:00 Introduction
0:33 Augmented Matrix
1:15 Reduced Row-Echelon form
2:20 Row Operations
18:48 Back-substitution
19:50 Final solution
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Gauss~Jordan Elimination - Reduced Row-Echelon Form #2
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