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.

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)]

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

If A=[a_(ij)] is a scalar matrix of order nxxn and k is a scalar, then abs(kA)=

If A is a square matrix of order n , prove that |A\ a d j\ A|=|A|^n .

If A is a square matrix of order n , prove that |Aa d jA|=|A|^n

If A is square matrix order 3, then |(A - A')^2015| is

If A is a square matrix of order 3 such that |A|=2 , then |(adjA^(-1))^(-1)| is

Let A be a square matrix of order 3 times 3 , then abs(kA) is equal to

If A is a square matrix of order nxxn and lamda is a scalar then |lamdaA| is (A) lamda|A| (B) lamda^n|A| (C) |lamda||A| (D) none of these