The determinant of a orthogonal matrix is :

Which of the following is incorrect? 1. Determinant of Nilpotent matrix is 0 2. Determinant of an Orthogonal matrix = 1 or -1 3. Determinant of a Skew - symmetric matrix is 0. 4. Determinant of Hermitian matrix is purely real.

If the determinant of a square matrix is non-zero, then the matrix is called a ____matrix.

If A is an invertible matrix and B is an orthogonal matrix of the order same as that of A then C = A^(-1) BA is

If A is a orthogonal matrix, then

If A is a orthogonal matrix, then

If an idempotent matrix is also skew symmetric then it can not be 1 an involutary matrix 2 an identity matrix 3 an orthogonal matrix 4 a null matrix.

If the determinant of the adjoint of a (real) matrix of order 3 is 25, then the determinant of the inverse of the matrix is

Statement 1: If A is an orthogonal matrix of order 2, then |A|=+-1. Statement 2: Every two-rowed real orthogonal matrix is of any one of the forms [[costheta ,-sintheta ],[sintheta ,costheta]]or[[costheta ,sintheta],[ sintheta,-costheta]]dot