A square matrix A is said to be orthogonal if `A^T A=I` If A is a sqaure matrix of order n
Channel: Doubtnut
Date: 2020-04-05

A square matrix A is said to be orthogonal if `A^T A=I` If A is a sqaure matrix of order n and k is a scalar, then `|kA|=K^n |A| Also |A^T|=|A|` and for any two square matrix A d B of same order `\AB|=|A||B|` On the basis of abov einformation answer the following question:If `A=[(1,1),(0,1)]` and P is a orthogonal martix and `B=PAP^T, P^TB^2009 P=` (A) `[(1,2009),(0,1)]` (B) `[(1,2009),(2009,1)]` (C) `[(1,0),(2009,1)]` (D) `[(1,0),(0,1)]`