Please read the instructions carefully, and show your matlab code not using build in functions, just using for, while, if, else, min, max, size. I will leave good feedback

If you have an invertible matrix A, you can calculate the inverse of matrix A by first augmenting matrix A with an identity matrix of same size in the form of [A I], then convert the augmented matrix in the form of [I B] using row operations, where, A" B To implement this technique, write a code that takes an invertible matrix as input and provides the matrix inverse as output. For this code, you are not allowed to use the built-in 'inv function to calculate the matrix inverse directly. Make sure your code conducts the following steps: 1. Check if the input matrix is square or not. If the matrix is not square, prompt the user to provide a square matrix as input. 2. Check the invertibility of the matrix. If the matrix is not invertible, display a message to the user that the matrix is not invertible and prompt the user to provide an invertible matrix (You may use the 'det function to perform this task). 3. Augment the input matrix with an identity matrix of same size. 4. Perform row operations in such a manner that segment consisting matrix A reduces to Identity matrix, the same operations should convert the segment consisting identity matrix into the inverse matrix of A. 5. Separate the inverse matrix from the augmented matrix and show it as output. You may only use "for", "while", "if", "elseif",'min', "max" and "size" commands in addition to math. You may not use any other command, especially any in-built command which can be used to calculate directly the inverse of a matrix. You will have one input in the function line, the matrix for which you want to calculate the inverse for. Name the function lastname firstinitial ME3430_ Activity11.m. Your first line should read something like: function [inverse, matrix) # lastname-firstinitial-ME3430-Activity11(matrix)