The purpose of this problem is to ask you to verify a few identities about inverse matrices and let you become familiar with matrix computations in the process. You will use rules of matrix multiplications as well as the formula B-A- = (AB)-( verified in the previous problem) in your computation. (a) For A E Rnxn ", suppose (I + A) is invertible, verify the identity I - (I+A) = A(I+ A)- by showing that I - A(I + A)- is the inverse of I + A, which can be done by computing [I - A(I + A) '](I + A)