In order to apply Gauss elimination method, we need to express the above three linear equations in matrix form as given below:Īrrange matrices A and B in the following form (augmented matrix): Derivation of Gauss Elimination Method:Ĭonsider the following system of linear equations:Ī 1x + B 1y + C 1z = D 1. Here, we’re going to write a program code for Gauss elimination method in MATLAB, go through its mathematical derivation, and compare the result obtained from MATLAB code with a numerical example. In earlier tutorials, we discussed a C program and algorithm/flowchart for Gauss elimination method. Gauss elimination method has various uses in finding rank of a matrix, calculation of determinant and inverse of invertible matrix. As the manipulation process of the method is based on various row operations of augmented matrix, it is also known as row reduction method. Named after Carl Friedrich Gauss, Gauss Elimination Method is a popular technique of linear algebra for solving system of linear equations.
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