Gauss Jordan Method: Solving Systems of Linear Equations || Understanding Gauss Jordan Method

In this video, we explain the Gauss Jordan Method — a fundamental algorithm in linear algebra for solving systems of linear equations. You’ll learn: What Gaussian jordan is and why it’s useful. How to represent a system of equations in matrix (augmented matrix) form. The two main phases: forward jordan (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 jordan 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. 👍