If `A=[2-3-5-1 4 5 1-3-4]` and `B=[-1 3 5 1-3-5-1 3 5]` , show that `A B=B A=O_3xx3` .

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

If A={:[(2,-3,-5),(-1,4,5),(1,-3,-4)]:} and B={:[(-1,3,5),(1,-3,-5),(-1,3,5)]:} show that AB = BA = 0, where 0 is the zero matrix of order 3xx3 .

If A=[(2, -3, -5) , (-1, 4, 5), (1, -3, -4)] and B=[(2, -2, -4) , (-1, 3, 4),( 1, -2, -3) ] , show that A B=A and B A=B .

A=[[1,2,-12,3,-13,4,-1]] and B=[[1,-3,-5-1,3,-5-1,3,-5]]

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

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

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

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

if A[{:(2,-3,-5),(-1,4,5),(1,-3,-4):}]and B=[{:(2,-2,-4),(-1,3,4),(1,-2,-3):}], then show that (i) AB=A and BA=B.