Matrices And Determinants

If $$B=\left[\begin{array}{lll}1 & \alpha & 2 \\ 1 & 2 & 2 \\ 2 & 3 & 3\end{array}\right]$$ is the adjoint of a \(3 \times 3\) matrix A and \(|A|=5\), then \(\alpha\) is equal to