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=[[1,2,3],[0,-1,4],[3,1,5]] and B=[[2,-1,0],[1,4,3],[3,0,-2]], verify that (AB)^-1=B^-1A^-1.

If A=[[1,0,5],[2,-1,3],[4,1,0]] and B=[[3,2,1],[0,2,1],[3,2,5]] .Show that (a) ( A + B )' = A' + B' (b) (2A)'=2A'

If A=[[0,1],[1,0],[0,1]] and B=[[0,1,2],[2,1,0]], find AB

1.If A=[[2,0,1],[-1,1,5]] and B=[[-1,1,0],[0,1,-2]] then find (AB')' .

If A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] find AB and BA.

If A=[[1],[2],[3]]" and "B=[[-5,4,0],[0,2,-1],[1,-3,2]] , then find BA

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]

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

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

If A=[[1,2,1] , [1,-4,1] , [3,0,-3]], B=[[2,1,1] , [1,-1,0] , [2,1,-1]] then show that AB=6I_3