Adjoint of a square matrix

If the matrix B is the adjoint of the square matrix A and alpha is the value of the determinant of A, then what is AB equal to ?

If the matrix B be the adjoint of the square matrix A , l be the identify matrix of the same order as A , and k (ne 0) be the value of the determinant of A , then AB is equal to

Let matrix A=[(x,y,-z),(1,2,3),(1,1,2)] where x,y, z in N . If det. (adj. (adj. A)) =2^(8)*3^(4) then the number of such matrices A is : [Note : adj. A denotes adjoint of square matrix A.]

Adjoint of square matrices and their properties

Let B be a skew symmetric matrix of order 3times3 with real entries. Given I-B and I+B are non-singular matrices. If A=(I+B)(I-B)^(-1), where det (A)>0 ,then find the value of det(2A)-det(adj(A)) [Note: det(P) denotes determinant of square matrix P and det(adj (P)) denotes determinant of adjoint of square matrix P respectively.]

If d is the determinant of a square matrix A of order n , then the determinant of its adjoint is

If D is the determinant of a square matrix A of order n, then the determinant of its adjoint is

If d is the determinant of a square matrix A of order n , then the determinant of its adjoint is

Adjoint OF square matrix

System Of Homogeneous Linear Equations|Exercise Question|Adjoint Of Square Matrix|Theorem|Exercise Question|Inverse Of Square Matrix|Exercise Question|OMR