A,B,C are matrices each of order `2xx2` with AB = AC.
Does it imply that B = C? Give an example in support of your conclusion.

Show that A ∩ B = A ∩ C need not imply B = C .

if A and B are two matrices of order 3xx3 so that AB=A and BA=B then (A+B)^7=

If A and B are square matrices of the same order, then AB = 0 implies

If A, B are symmetric matrices of same order, then AB-BA is a

A and B arer two matrices of order 3xx3 which satisfy AB = A and BA = B. Which of the following are true?

Three different numbers a, b, c are both in A.P. G.P. - is it possible ? Give reasons in support of your answer.

Show that A cap B = A cap C need not imply B=C

Let A, B and C be three sets. If A ∈ B and B ⊂ C , is it true that A ⊂ C ?. If not, give an example.

If A and B are square matrices of the same order such that AB = A and BA = B, then……

If B ,C are square matrices of order na n difA=B+C ,B C=C B ,C^2=O , then without using mathematical induction, show that for any positive integer p ,A^(p+1)=B^p[B+(p+1)C] .