If nth-order square matrix `A` is a orthogonal, then |adj(adjA)| is (a)always -1 if n is even (b) always 1 if n is odd (c) always 1 (d) none of these

If nth-order square matrix A is a orthogonal, then |"adj (adj A)"| is

If A is order 2 square matrix such that |A|=2, then |(adj(adj(adjA)))| is a. 512 b. 256 c. 64 d. none of these

Let A be a non-singular square matrix of order n. Then; |adjA| =

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

If A is a non singular square matrix; then adj(adjA) = |A|^(n-2) A

If A is a non singular square matrix; then adj(adjA) = |A|^(n-2) A

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) a. (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity) (|A|+K)^(n-2) b. (|A|+K)^n c. (|A|+K)^(n-1) d. none of these

If n is a natural number, then 9^(2n)-4^(2n) is always divisible by (a) 5 (b) 13 (c) both 5 and 13 (d) none of these

In a triangle ABC sqrt(a)+sqrt(b)-sqrt(c) is (A) always positive (B) always negative (C) positive only when c is smallest (D) none of these