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

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 is an orthogonal matrix then (A) A^T is an orthogonal matrix but A^-1 is not an orthogonal matrix (B) A^T is not an orthogonal mastrix but A^-1 is an orthogonal matrix (C) Neither A^T nor A^-1 is an orthogonal matrix (D) Both A^T and A^-1 are orthogonal matices.

If A is a square matrix of order n then |kA|=

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

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)]

A square matrix A is called orthogonal if.

If A is a square matrix of order n and |A|=D, |adjA|=D' , then

If A is a square matrix of order n and AA^(T)=I then find |A|

If A is a square matrix of order 3 such that A^(-1) exists, then |adjA|=

For any square matrix A,A A^(T) is a