If `A=[[5,1],[6,7]], B=[[2,1],[3,4]],C=[[1,3],[-1,4]]`, verify the following `(AC)\'=C\'A\'`

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

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

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

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

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

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

If A = [[2,3],[-1,5]] , B = [[3,-1],[4,7]] and C = [[5,-1],[0,3]], show that A(B +C)=AB+AC

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=[[1,2,3],[-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