If the adjoint of a $3\times 3$ matrix P is $\begin{bmatrix}1 &4&4\\2&1&7\\1&1&3\end{bmatrix}$ then the possible value(s) of the determinant of P is

Question

$(a)\;\pm 2\qquad(b)\;-1\qquad(c)\;1\qquad(d)\;3$