if `A[[3],[1],[-2]],B=[[1,-5,7]]`then verify that (AB)'=B'A'.

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

If A=[[-2],[4], [5]] , B=[[1 ,3,-6]] , verify that (A B)' = 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=[[10,3],[1,2]] and B=[[1,0],[1,-1]] , 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 =[[1,2,3],[-1,0,2],[1,-3,-1]] , B= [[4,5,6],[-1,0,1],[2,1,2]] and C=[[-1,-2,1], [-1,2,3],[-1,-2,2]] verify that A(B+C)=AB+AC .

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

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