If `=[[2,3,4],[1,2,3],[4,-5,7]], B= [[2,5,-1],[3,-1,2],[7,2,-3]] `, verify that `(A+B)'=A'+B'`

If A=[[1,-2,3],[-4,2,5]] , B=[[1,3],[-1,0],[2,4]] then verify that (AB)'=B'A'

If A=[[2,1,3],[4,1,0]], B=[[1,-1],[0,2],[5,0]] , verify that (AB)\'=B\'A\'

If A=[[1,-2,3],[-4,2,5]] & B=[[1,3],[-1,0],[2,4]] then verify that (AB)'=B'A'

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , verify that (AB)\'=B\'A\'

If A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] , verify that (AB)\'=B\'A\'

If A=[[1,2,3],[0,-1,4],[3,1,5]] and B=[[2,-1,0],[1,4,3],[3,0,-2]], verify that (AB)^-1=B^-1A^-1.

If A=[[2,3,1] , [1,3,2] , [1,2,3]], B=[[4,1,2] , [2,4,1] , [1,4,2]] verify that (A+B)^T=A^T+B^T

If =[[-2],[4],[5]], B=[1,3,-5] , verify that (AB)\'=B\'A\'

If A=[[1,2,3],[3,1,2],[2,3,1]] and B=[[-5,7,1],[1,-5,7],[7,1,-5]] prove that AB=18I_3

If A=[[-1,2,3],[5,7,9],[-2,1,1]] and B=[[-4,1,-5],[1,2,0],[1,3,1]] , then verify that (i) (A+B)'=A'+B' (ii) (A-B)'=A'-B'