If is an orthogonal matrix,

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

P

is an orthogonal matrix,

Q=PAP^T

, and

B=P^TQ^{1000}P

, where

A

is an involutory matrix, then

B^{-1}

is: (1)

A

(2)

A^{1000}

(3)

I

(4) None of these