If A = `[[2,1],[-1,2]]` , B =`[[3,4],[-4,3]]` Show that (A+B)(A-B) = `A^2 -B^2`

If A= [[2,4,-1],[-1,0,2]], B=[[3,4],[-1,2],[2,1]] , Show that (AB)'=B'A' .

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

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

.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=[[4, 3], [1 ,2]] and B=[[-4], [3]] , write A B .

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

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

If A=[[ 2, -1],[3 , 1]] and B=[[1, 4],[7, 2]], find 3A-2B

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,-1,0],[2,3,4],[0,1,2]] and B = [[2,2,-4],[-4,2,-4],[2,-1,5]] then, (A) A^(-1) =B (B) A^(-1) =6B (C) B^(-1) =B (D) B^(-1) = 1/6 A