Let `A=[1 1 1 3 3 3]` , `B=[3 1 5 2-2 4]` and `C=[4 2-3 5 5 0]` . Verify that `A B=A C` though `B!=C ,\ A!=O` .

Given the matrices A=[2 1 1 3-1 0 0 2 4] , B=[9 7-1 3 5 4 2 1 6] and C=[2-4 3 1-1 0 9 4 5] Verify that (A+B)+C=A+(B+C) .

Let A=[(1, 2), (1, 3)], B=[(4, 0), (1, 5)], C=[(2, 0), (1, 2)] show that (A-B)C=AC-BC

Let A = {1, 2, 3}, B = {2, 3, 4} and C = {4, 5}. Verify that : Axx(B nn C)=(AxxB)nn (A xx C) .

Given that A=[(1, 3), (5, -1)], B=[(1, -1, 2), (3, 5, 2)], C=[(1, 3, 2), (-4, 1, 3)] verify that A(B+C)=AB+AC .

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

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

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

Let A = {1, 2, 3, 4}, B = {2, 3, 5, 7} and C = {1, 3, 5, 6} . Then, the value of A cap ( B Delta C ) is