Prove that(AB)^1 =B^1 A^1 Share with your friends Share 0 Akhil Goyal answered this We have,ABB-1A-1 = ABB-1.A-1 = ABB-1.A-1 = AI.A-1 = A.A-1 = IAlso, B-1A-1 AB = B-1A-1AB = B-1A-1A.B = B-1IB = B-1B = IHence by definition, B-1A-1 = AB-1 3 View Full Answer
