If `A=[(3,7),(2,4)]` and `B=[(0,2),(5,3)]` then AB=

If A=[{:(,3,7),(,2,4):}], B=[{:(,0,2),(,5,3):}] and C=[{:(,1,-5),(,-4,6):}] Find AB-5C.

If A=[(3, 0),(5, 1)] and B=[(-4,2),(1, 0)] Find A^(2)-2AB+B^(2)

If A = [(1,2),(5,7)]and B = [(2,1),(3,4)] then find the order of AB.

If A=[{:(,3,5),(,4,-2):}] and B=[{:(,2),(,4):}]" is the product AB possible"? . Give a reason, if yes, find AB.

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

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

Let A=[(2,3),(5,7)] and B=[(a, 0), (0, b)] where a, b in N . The number of matrices B such that AB=BA , is equal to

(i) if A=[{:(1,-4),(3,1):}]and b=[{:(1,0,5),(-2,4,3):}], then show that : (AB)'=B'A' (ii) if A=[{:(2,3),(0,1):}]and B=[{:(3,4),(2,1):}], then prove that : (AB)'=B'A'