(a) For a square invertible matrix A, let A* = (A-1)T. Show that for square invertible matrices of the same size (shape), (AB)* = A*B* . (b) Let A, B,

C , and D be invertible square matrices of the same size (shape). Solve for D in terms of A, B , and C and their inverses or tranposes if Ct((A-1D)t)-1"B = AT