Let \(B=\left[\begin{array}{lll}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & 4\end{array}\right], \alpha>2\) be the …

Let \(B=\left[\begin{array}{lll}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & 4\end{array}\right], \alpha>2\) be the adjoint of a matrix \(A\) and \(|A|=2\), then \(\left[\begin{array}{ll}\alpha-2 \alpha & \alpha\end{array}\right] B\left[\begin{array}{c}\alpha \\ -2 \alpha \\ \alpha\end{array}\right]\) is equal to:

[JEE Main 2023, 13 Apr (Shift 1)]