Nilpotent Matrix

Match the following {:(,"Column-I",,"Column-II",),((A),"If A and B are otthogonal, then AB is",(p),"Zero matrix",),((B),"If A and B are nilpotent matrices of order r and s and A and B commute, then "(AB)^(r)"is",(q),"Nilpotent matrix",),((C),"If A is a hermitian matrix such that "A^(2)=0", then A is ",(r),"Unitary matrix",),((D),"If A and B are unitary matrices, then AB is",(s),"Orthogonal",):}

(A) If A and B are orthogonal,then AB is (B) If A and B are nilpotent matrices of order r and s and A and B commute,then (AB)^(r) is

If an idempotent matrix is also skew symmetric then it can not be 1 an involutary matrix 2 an identity matrix 3 an orthogonal matrix 4 a null matrix.

A square matrix A is used to be an idempotent matrix if A^(2) = A . If A is a non-singular idempotent matrix, then-

A square matrix A is used to be an idempotent matrix if A^(2) = A . If A is an idempotent matrix and B = I -A, then-