If $P=\begin{bmatrix} 1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 \end{bmatrix} = 0 $ is the adjoint of $3 \times 3$ matrix $A$ and $|A|=4$ , then $\alpha$ is equal to :

Question

$\begin{array}{1 1} (1) 4 \\ (2) 11 \\ (3) 5 \\ (4) 0 \end {array}$