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

If A=[[2,3],[4,5]],B=[[3,4],[7,2]], C=[[1,0],[0,7]] then verify that (AB)C=A(BC)

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

If A=[[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=[[3,4],[ -1,2],[0, 1]] and B=[[-1, 2, 1],[1,2, 3]] , then verify that (A+B)^(prime)=A^(prime)+B^(prime)

If A=[[10,3],[1,2]] and B=[[1,0],[1,-1]] , verify that (AB)\'=B\'A\'

If A= [[2,4,-1],[-1,0,2]], B=[[3,4],[-1,2],[2,1]] , Show that (AB)'=B'A' .

If A=[[-2],[4], [5]] , B=[[1 ,3,-6]] , verify that (A B)' = B'A' .

If A=[[2, 5], [2, 1]] and B=[[4,-3], [2, 5]] , verify that |A B|=|A||B| .