Let $B=\left[\begin{array}{lll}1 & 3 & \alpha \ 1 & 2 & 3 \ \alpha & \alpha & 4\end{array}\right], \alpha2$ 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)]

Question

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)]

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