Adjoint Of A Matrix

For a square matrix , the determinant of the adjugate of is given by:

This property confirms that (A) is correct.

For the inverse of a matrix:

This property confirms that (D) is correct.

(C) is not part of the correct answer because while the relation is valid, it is not relevant to the determinant properties discussed here.

(B) is incorrect because . It is a misstatement of the property.

Thus, the correct options are:

and .