Matrices And Determinants

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