If `A=[[2,1],[3,5]]`verify that `(A')^(-1)=(A^(-1))`.

If A=|[3, 2], [7, 5]| and B=|[6 ,7], [8, 9]| , verify that (A B)^(-1)=B^(-1)A^(-1) .

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

3) If A=[[1,2],[3,4]] ,verify that A(adj A)=(adj A)A=|A|I .

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=[[1,2,3],[1,3,4],[1,4,3]] ,verify that A(adj.A)=(adj.A)=|A|.I

For the following pair of matrix verify that (A B)^(-1)=B^(-1)A^(-1) . A=[2 1 5 3] and B=[4 5 3 4]

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

For the following pair of matrix verify that (A B)^(-1)=B^(-1)A^(-1) . A=[(3, 2),( 7 ,5)] and B=[(6, 7),( 8, 9)]

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' .