Recall that a matrix multiplication is performed by multiplying each value in the rows of A with the corresponding values in the columns of B and then adding the results together. This is described by the following equation: M_r, c = sigma_n A_r, n B_n, c The subscripts represent the row r, and column c, of an element in the matrix. M_r, c means the value in the r^th row and the c^th column of M, which is addressed as M(r, c) in MATLAB. For example, if A = [1, 2; 3, 4] and B = [2, 4; 4, 8], then the matrix multiplication of A*B can be coded as: M(1, 1) = A(1, 1)*B(1, 1) + A(1, 2)*B(2, 1) M(1, 2) = A(1, 1)*B(1, 2) + A(1, 2)*B(2, 2) M(2, 1) = A(2, 1)*B(1, 1) + A(2, 2)*B(2, 1) M(2, 2) = A(2, 1)*B(1, 2) + A(2, 2)*B(2, 2) This will result in M = [14, 20; 22, 44]. Note that the code above will only work when multiplying two 2 times 2 matrices. In MATLAB, A*B will perform the matrix multiplication for matrices of any compatible size. A. Programming something yourself is arguably the best way to understand how an equation or algorithm works. Write a MATLAB function that multiplies matrices A and B using nested for loops and works just like MATLAB's*operator for matrices. Your function should work on matrices of any compatible size, not just 2 times 2 matrices. The function header should look similar to the following function: function M = MatrixMul(A, B) B. Write an m-file that uses the function in part A to perform the following matrix multiplication. I. [1 2 3 2 4 6 3 6 9]*[5 10 15] II. [2 4 6 8]*[7 6 5 4]