Determinants Te...

If A is a non singular matrix and A’ denotes the transpose of A, then

If A and B are square matrices of order 3, such that Det.A = –1, Det.B =3 then, the determinant of 3AB is equal to

A square matrix A is called singular if det. A is

The system AX = B of n equations in n unknowns has infinitely many solutions if

Let A be a skew – symmetric matrix of order n then

For an invertible square matrix of order 3 with real entries A^-1 = A², then det. A =

The value of the determinant of a skew symmetric matrix of even order is