Let A and B be two `2times2` non singular skew symmetric matrices such thatAB=BA. If `P^(T)` ,denotes transpose of P then` (B^(2)A^(2))^(2)((B^(T)A)^(-1))^(2)((BA^(-1))^(T))^(2) is `equal to

Let MandN be two 3xx3 non singular skew- symmetric matrices such that MN=NM* If P^(T) denote the transpose of P, then M^(2)N^(2)(M^(T)N)^(-1)(MN^(-1))^(T) is equal to M^(2) b.-N^(2) c.-M^(2) d.MN

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

Let A and B be two non-singular square matrices such that B ne I and AB^(2)=BA . If A^(3)-B^(-1)A^(3)B^(n) , then value of n is

If a and B are non-singular symmetric matrices such that AB=BA , then prove that A^(-1) B^(-1) is symmetric matrix.

Suppose A and B are two non singular matrices such that B!=I,A^(6)=I and AB^(2)=BA. Find the least value of k for B^(k)=1

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

If A=[[2,3],[4,5]] , prove that A-A^T is skew symmetric matrix, where A^T denotes the transpose of A.

Let A and B be any two 3xx3 matrices . If A is symmetric and B is skew -symmetric then the matrix AB-BA is :