If A=`[[2,1],[0,4]]`and B=`[[1,-1],[3,6]]`,the find `(A+B)^2`

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

If A=[[2,-1],[ 3, 2]] and B=[[0, 4],[-1, 7]] , find 3A^2-2B+I .

If A=[[1,4,-1],[2,6,5]] and B=[[3,-2,-6],[2,0,-7]] , find A+B and A-B

If A^T=[[3, 4],[-1, 2], [0 ,1]] and B=[[-1, 2, 1],[ 1, 2, 3]], find A^T-B^T

if A = [[3,9,0],[1,8,-2]] and B = [[4,0,2],[7,1,4]] find A+B and A-B?

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

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

If A=[[1, 1,-1],[ 2, 0, 3],[ 3,-1, 2]] , B=[[1, 3],[0,2],[-1, 4]] and C=[[1,2, 3,-4],[ 2, 0,-2, 1]] , find A(BC), (AB)C and show that (A B)C = A(B C) .

If A=[[1,2,3],[2,0,-2]],B=[[1,1,-1],[2,0,3],[3,-1,2]] and C=[[1,3],[0,2],[-1,4]] find A(BC).

Compute the products A B and B A whichever exists in each of the following cases: A=[[1,-2],[ 2, 3]] and B=[[1, 2,3],[ 2,3, 1]] (ii) A=[[3, 2],[-1, 0],[-1, 1]] and B=[[4, 5, 6],[ 0, 1 ,2]]