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 d B of same order `\AB|=|A||B|` On the basis of above information answer the following question: IF A is a `3xx3` orthogonal matrix such that `|A|=1, then |A-I|=` (A) 1 (B) -1 (C) 0 (D) none of these