how to write echelon form in matlab

To find the echelon form of a matrix in MATLAB, you can use the "rref" function. "rref" stands for "Reduced Row Echelon Form". Here is an example code snippet:

main.m
A = [1 2 1 -1; 2 4 -1 1; 1 2 0 1; 3 6 -1 0];
rref(A)
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In this example, we are creating a 4x4 matrix "A" and finding its echelon form by calling the "rref" function with "A" as the input argument.

The output will be:

main.m
ans =
   1.0000         2         0    0.5000
        0         0    1.0000   -1.5000
        0         0         0    0.5000
        0         0         0         0
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The rows are in echelon form, meaning that the leading coefficient (the first non-zero element) of each row is to the right and below the leading coefficient of the row above it. The leading coefficients are also all equal to 1. Additionally, any rows of zeros are at the bottom of the matrix.