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 ?

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 d^n (b) d^(n-1) (c) d^(n+1) (d) d

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

Which of the following is/are incorrect? (i) adjoint of a symmetric matrix is symmetric (ii) adjoint of a unit matrix is a unit matrix (iii) A (adj A)=(adj A)A=absAI (iv) adjoint of a diagonal matrix is a diagonal matrix

Which of the following is/are incorrect? (i).Adjoint of symmetric matrix is symmetric (ii).Adjoint of unit matrix is a unit matrix (iii). A(adjA)=(adjA)A=!|A|I (iv). Adjoint of a diagonal matrix is a diagonal matrix