Problem

If the adjoint of a

3 \times 3

matrix

P

\begin{bmatrix} 1 & 4 & 4 \\ 2 & 1 & 7 \\ 1 & 1 & 3 \end{bmatrix}

, then the possible value(s) of the determinant of

P

is (are) a. -2 b. -1 c. 1 d. 2