A square matrix A is said to be orthogonal if `A^T A=I` If A is a square matrix of order n and k
Channel: Doubtnut
Date: 2020-04-12

A square matrix A is said to be orthogonal if `A^T A=I` If A is a square 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 and B of same order `\|AB|=|A||B|` On the basis of above information answer the following question: If `A=[(p,q,r),(q,r,p),(r,p,q)]` be an orthogonal matrix and `pqr=1, then p^3+q^3+r^3` may be equal to (A) 2 (B) 1 (C) 3 (D) -1