If `A=[[1,2],[5,7]] and B=[[2,0],[ 3,-4]]`, show that `AB!=BA`

If A=[[-1,2],[3,4]] and B=[[2,-3],[5,1]] show that AB!=BA

If A=[[1,2],[3,-4],[5,6]] and B=[[4,5,6],[7,-8,2]] , is AB=BA? Also find AB and BA.

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

.If A=[[1,4,7],[2,5,8]] and B=[[-3,4,0],[4,-2,-1]] then show that (A+B)^T=A^T+B^T

If A=[[0,1],[1,0]],B=[[0,-i],[i,0]] and C=[[i,0],[0,-i]] , show that A^2=B^2=-C^2=I_2 and AB=-BA,AC=-CA and BC=-CB .

If A=[[2,1],[3,0],[5,1]] and B = [[4,0],[3,8]] then find AB

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

If A=[[1, 0],[ 0,-1]] and B=[[0 ,1], [1, 0]] , then find AB,BA. Show that 'A B!=B A .

If A=[[2,9],[4,3]] and B= [[1,5],[7,2]] find AB-BA