Program: MATLAB

How would I create a for loop that goes through and calculates all 9 different traces and then collects those values (along with the rows and columns of the original matrix A) and filters them into a new 9x3 matrix?

The goal of this problem is to write an m-file that generates a table in a text file with the trace of AAT for a matrix A with the entries A; = '# You must use for loops to (i) create the matrix A, (ii) construct the transpose AT, (iii) compute the product AAT, and (iv) compute the trace of AAT Do this calculation for all 9 combinations of matrix dimensions 10, 100, and 1000 (i.e., where A is 10 * 10, 10 * 100, 10 * 1000, 100 * 10, etc.). For the output, create a 9 * 3 matrix where the first column is the number of rows in A, the second column is the number of columns in A, and the third column is the trace of AAT for these conditions. Your program should write this matrix to a text file using the MATLAB routine dlmwrite