Find Row Reduced Echelon Form of the matrix without rref MATLAB?

Question:

Find Row Reduced Echelon Form of the given matrix using row operations in MATLAB?

\(\begin{pmatrix} 1 & 2 & 4 & -2 & 3\\ 2 & -1 & 2 & 1 & 1\\ 3 & 1 & 6 & -1 & 4\\ 1 & -3 & -2 & 3 & -2 \end{pmatrix}\)

Answer:

Row Reduced Echelon Form can be obtained by doing row operations withour using "rref" built-in command of MATLAB

A = [1 2 4 -2 3;2 -1 2 1 1;3 1 6 -1 4;1 -3 -2 3 -2];
A(2,:) = A(2,:) - 2*A(1,:);
A(3,:) = A(3,:) - 3*A(1,:);
A(4,:) = A(4,:) - A(1,:);
A(2,:) = A(2,:)*(-1/5);
A(3,:) = A(3,:) + 5*A(2,:);
A(4,:) = A(4,:) + 5*A(2,:);
A(1,:) = A(1,:) - 2*A(2,:);
A

OUTPUT

A =

    1.0000         0    1.6000         0    1.0000
         0    1.0000    1.2000   -1.0000    1.0000
         0         0    0.0000         0         0
         0         0    0.0000         0         0