Write a MATLAB live script that will compute the Reduced Row Echelon Form (RREF) of any matrix Ausing only basic programming commands such as for loops, while loops, if then, if then else, etc. The first line of the script should be to define a matrix A and your script should finish with the matrix R being the RREF of A.

I will be testing your script using the following type of matrices:

1. A 3x4 matrix that represents a system of linear equations with a unique solution such as A=[3 2 5 1; 8 -3 -7 10; 4 5 -2 6].
2. A 3x5 matrix which has all zeros in its second row.
3. A 2x4 matrix.
4. A 5x4 matrix with 0 in the upper left-hand corner.

After the script runs, it should be the case that R= rref(A). You should check to see if your script is working correctly by using MATLABs rref function in a MATLAB command line