Mathematics · 2022
JEE Main · 27 July 2022, Shift 1 · Q4
Let A= (1, 2; -2, -5). Let α, β ∈ R be such that α A^2+β A=2 I. Then α+β is equal to
Let $\displaystyle A=\left(\begin{array}{cc}1 & 2 \\ -2 & -5\end{array}\right)$. Let $\displaystyle \alpha, \beta \in \mathbb{R}$ be such that $\displaystyle \alpha A^2+\beta A=2 I$. Then $\displaystyle \alpha+\beta$ is equal to
Official answer
(4)
$\displaystyle 10$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.