1.6 #T8 Given A^T = T and that A^-1 exists, show that (A^-1)^T = A^-1, that is show that A inverse is symetric. Proof: (A^-1)^T = (A^T)^-1 by Theorem 1.9(c). But A^T = A so (A^T)^-1 = A^-1. Thus, (A^-1)^T = A^-1.