Let A be an nth-order square matrix and B be its adjoint, then `|AB+KI_(n)|` is (where K is a scalar quantity)

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

Let A be a 3xx3 matrix and B its adjoint matrix If |B|= 64, then |A| =

Let A be a square matrix of order 3xx3 then | kA| is equal to

Let B is an invertible square matrix and B is the adjoint of matrix A such that AB=B^(T) . Then

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

If A and B are square matrix of same order then (A-B)^(T) is:

Let A be a nonsingular square matrix of order 3xx3 .Then |adj A| is equal to

Let A be an orthogonal matrix, and B is a matrix such that AB=BA , then show that AB^(T)=B^(T)A .

If A, B, and C are three square matrices of the same order, then AB=AC implies B=C . Then