NEED THIS IN MATLAB CODE; SIMPLE CODE POSSIBLE! NEED 2.1 & 2.2 PLEEEEASSE

2.1. An n x n Hilbert matrix, A, is defined by aij = 1/(i + j - 1) for i, j =1,2,..., n Find the inverse of A and the inverse of ATA for n=5. Then, noting that (ATA)-I = A-'(A-T find the inverse of AVA using this result for values of n = 3, 4, ..., 6. Compare the accuracy of the two results by using the inverse Hilbert function in hiab to find the exact inverse using (ATA)-'=A-'(A-T.Hint: Compute norm( PR) and norm(Q - R) where P= (AA)- and Q=A-'A-') and R is the exact value of Q. 2.2. Find the condition number of AA where A is an n x n Hilbert matrix, defined in Problem 2.1, for n=3, 4..... 6. How do these results relate to the results of Problem 2.1