gaussian elimination using rref in matlab

main.m
% A is the coefficient matrix of the system of linear equations
% b is the constant vector of the system of linear equations
% [A, b] is the augmented matrix of the system of linear equations
rref([A, b])
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main.m
% Define the coefficient matrix A and constant vector b
A = [1 2 -1; 3 1 2; 4 3 -1];
b = [5; 12; 2];

% Augment A and b to form the augmented matrix
Ab = [A, b];

% Compute the rref of the augmented matrix to obtain the solution
x = rref(Ab);

% Extract the solution from the last column of the rref matrix
% x(1, 4) is the solution for x1, x(2, 4) is the solution for x2, and x(3, 4) is the solution for x3
x = x(:, end);
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