If `A=[a_(ij)]_(mxxn) and B=[b_(ij)]_(nxxp)` then `(AB)^\'` is equal to (A) `BA^\'` (B) `B\'A` (C) `A\'B\'` (D) `B\'A\'`

A matrix A=[a_(ij)]_(mxxn) is

A-B is equal to a.(A uu B)-(A nn B), b.A nn B^(C), c.A nn B,d.B-A

If A and B are two matrices such that AB=A, BA=B, then A^25 is equal to (A) A^-1 (B) A (C) B^-1 (D) B

Statement-1 (Assertion and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement - 1 If mateix A= [a_(ij)] _(3xx3) , B= [b_(ij)] _(3xx3), where a_(ij) + a_(ji) = 0 and b_(ij) - b_(ji) = 0 then A^(4) B^(5) is non-singular matrix. Statement-2 If A is non-singular matrix, then abs(A) ne 0 .

If matrix A = [a_(ij)]_(3xx3), matrix B= [b_(ij)]_(3xx3) where a_(ij) + a_(ij)=0 and b_(ij) - b_(ij) = 0 then A^(4) cdot B^(3) is