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Mathematics · 2023

JEE Main · 13 April 2023, Shift 1 · Q3

Let B= [1, 3, α; 1, 2, 3; α, α, 4], α>2 be the adjoint of a matrix A and |A|=2. Then [α, -2 α, α] B [α; -2 α; α] is equal to

Let $\displaystyle B=\left[\begin{array}{ccc}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & 4\end{array}\right], \alpha>2$ be the adjoint of a matrix $\displaystyle A$ and $\displaystyle |A|=2$. Then $\displaystyle \left[\begin{array}{ccc}\alpha & -2 \alpha & \alpha\end{array}\right] B\left[\begin{array}{c}\alpha \\ -2 \alpha \\ \alpha\end{array}\right]$ is equal to
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.