`if A = [[-1, 1 ],[0 ,4 ]]` and `B = [ [ -3 , 2 ] , [ 0 ,-1 ] ]` then show that `( A + B )^2`

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=[[2,-1,5] , [4,0,3]] and B=[[-2,3,1] , [-1,2,-3]] then find A'+B'

If A=[[2,3],[0,1]] and B=[[3,4],[2,1]] ,then (AB)=

If A=[[3,4],[ -1,2],[0, 1]] and B=[[-1, 2, 1],[1,2, 3]] , then verify that (A+B)^(prime)=A^(prime)+B^(prime)

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

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=[[1,0],[0,1]],B=[[1,0],[0,-1]] and C=[[0,1],[1,0]] then show that A^(2)=B^(2)=C^(2)

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