Let A and B be two square matrices satisfying `A+BA^(T)=I` and `B+AB^(T)=I` and `O` is null matrix then identity the correct statement.

If A and B are two square matrices such that AB=A and BA=B , then A^(2) equals

Let A and B be two square matrices of order 3 and AB = O_(3) , where O_(3) denotes the null matrix of order 3. then

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. The relation between m, n and p, is

If A and B are two matrices of order 3xx3 satisfying AB=A and BA=B , then (A+B)^(5) is equal to

Let A and B be two square matrices of the same size such that AB^(T)+BA^(T)=O . If A is a skew-symmetric matrix then BA is

Let A and B be square matrices of same order satisfying AB =A and BA =B, then A^(2) B^(2) equals (O being zero matrices of the same order as B)

Let A and B are square matrices of order 3 such that A^(2)=4I(|A|<0) and AB^(T)=adj(A) , then |B|=

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. Which of the following orderd triplet (m, n, p) is false?

If A and B are two matrices such that AB is defined; then (AB)^(T)=B^(T).A^(T)

Let A and B are two non - singular matrices such that AB=BA^(2),B^(4)=I and A^(k)=I , then k can be equal to