`A=[[1,2,3],[-1,2,4],[0,0,1]]` `B=[[-1,-2,0],[0,1,3],[-1,2,0]]` , verify (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],[-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=[[10,3],[1,2]] and B=[[1,0],[1,-1]] , verify that (AB)\'=B\'A\'

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)=(A+B)+C

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

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=[[1,2,3],[0,1,0],[1,1,0]] and B=[[-1,1,0],[0,-1,1],[2,3,4]] show that AB!=BA

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

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

A={:[(1,2,3),(4,1,-1),(2,3,1)]:},B={:[(1,-1,1),(2,0,1),(1,1,1)]:} , verify (AB)'=B'A'.