Introduction to Programming Matrix Multiplication The following program will add two “square arrays.” Note the change from the code we worked on in class. # add 2 square matrices def add(a,b): lena=len(a) x=[lena*[0] for i in range(lena)] for i in range(lena): for j in range(lena): x[i][j]=a[i][j]+b[i][j] return x x=[[1,1],[1,1]] y=[[1,1],[3,4]] c=add(x,y) print(c) Write a function mult(a,b) that will “multiply” the two square matrices a and b as we discussed in class. If we write c=mult(a,b) then c[i][j] will be the dot product of row i of matrix a with column j of matrix b. Recall that if we have 2 lists a and b of the same size, then we can define dot as follows: z=[1,2,3] v=[4,5,6] def dot(a,b): lena=len(a) g=0 for i in range(lena): g=g+a[i]*b[i] return g print(dot(z,v)) Problem 1. Ask your user for an integer n. 2. Create two nXn matrices (two dimensional lists) filled with random integers. Call one A and the other B. 3. Print A and B. 4. Multiply (by using the matrix multiplication algorithm) A and B to get matrix C. 5. Print matrix C. 6. Go back to step 1 and repeat until the user enters “done”. Test out your function on matrices of various sizes. The values in the matrices should be generated by using randint(). I would suggest using small random numbers so that it will be easier for you to check.