If `A = [(4,-1),(0,3)], B = [(1,2),(-1,3)] and C = [(1, -2),(3,5)]` verify that `A(BC) = (AB)C`.

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

If A = [{:(1,2),(-2,3):}], B= [{:(2,1),(2,3):}] and C = [{:(-3,1),(2,0):}] ,verify that (AB)C = A(BC) and A(B+C)=AB+AC.

If A = [(2,2),(1,3)], B = [(2,0),(4,3)] and C = [(1,4),(1,3)] . Calculate AB, AC and A (B + C). Verify that AB + AC = A(B +C) .

If A=[(-2),(4),(5)]andB=[(1,3,-6)], verify that (AB)'=B'A' .

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

If A=[(-1,2,3),(5,7,9),(-2,1,1)] and B=[(-4,1,-5),(1,2,0),(1,3,1)] , then verify that (i) (A+B)'=A'+B' , (ii) (A-B)'=A'-B'

If A = [{:(-2),(4),(5):}] and B = [1, 3-6], verify that (AB)^(1) = B^(1) A^(1)

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

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