Gaussian Elimination Method: Solving Systems of Linear Equations||Understanding Gaussian Elimination
Автор: S.M COLLEGIATE ( SiR MUNEEB )
Загружено: 2025-11-29
Просмотров: 16
In this video, we explain the Gauss Elimination Method — a fundamental algorithm in linear algebra for solving systems of linear equations.
You’ll learn:
What Gaussian elimination is and why it’s useful.
How to represent a system of equations in matrix (augmented matrix) form.
The two main phases: forward elimination (reducing to upper-triangular / row-echelon form) and back-substitution to find variable values.
Examples solving real systems step-by-step, showing row operations (swap, multiply, add) and back-substitution.
When Gaussian elimination can also be used to compute a matrix’s determinant, inverse, or rank.
If you’re studying linear algebra, preparing for exams, or just want a clear method to tackle multiple-variable systems, this tutorial is for you. 👍
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