Give an example of three matrices `A ,\ B ,\ C` such that `A B=A C` but `B!=C` .

Give an example of three matrices A,B,C such that AB=AC but B!=C .

Give an example of matrices A,B and C such that AB = AC but B ne C, A neO .

Give examples of matrices A and B such that A B=O but B A!=O . (ii) A ,\ B and C such that A B=A C but B!=C ,\ A!=O .

Given an example of three matrices A, B and C of the same type for which (A-B) + C ne A - (B + C)

Give examples of matrices A and B such that AB=O but BA!=O. (ii) A,B and C such that AB=AC but B!=C,A!=O

Give an example of matrices A,B and C such that AB=AC, where A is nonzero matrix , but BneC .

Give examples of three sets, A,B, C such that A cap B ne phi , (B cap C) ne phi, (A cap C) ne phi and (A cap B cap C) = phi .

If A,B,C are three matrices such that A + B = A + C, then prove that B = C.

Three sets A,B and C are such that A=B nn C and B=C nn A

If A , B and C are three square matrices of the same size such that B = CA C^(-1) then CA^(3) C^(-1) is equal to