If `A=[[2,1],[1,0]],B=[[2,3],[1,-1]]` verify that:`(A+B)^2`

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

If A=[[1,4],[0,5],[6,7]] and B=[[2,3,-1],[1,0,-7]] , 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=[[3],[1],[-2]] , B=[[1,3,-5]] , verify (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=[[5,1],[6,7]], B=[[2,1],[3,4]],C=[[1,3],[-1,4]] , verify the following (A+B)'=A'+B'