If $P=\left[\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right]$ is the adjoint of a matrix $A$ and $\operatorname{det} A=4$, then the value of $\alpha$ is

• A

  $3$
• B

  $22$
• Correct answer
  C

  $11$
• D

  $4$

Hence, the correct answer is option: 'C'.