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

If A is a square matrix of order 2 and |A| = 8 then find the value of | adj(A)|

If A is a square matrix of order 2 and |A|=4 , then find the value of |2A A'| , where A' is the transpose of matrix A.

If A is a square matrix of order 3 and |A|=5 , then value of |2A'| is

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 3 such that |A| =3 then find the value of |(a d j A)|

If A is a square matrix of order 3 and |A|=2 , then the value of |-A A'| is

If A is a square matrix of order 3 such that |A| =3, then find the value of |a d j(a d jA)|dot

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

If A is a square matrix of order 3 such that |A^(T)| = 5 , then value of |2A|= a) 25 b) 10 c) 20 d) 40