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Matrices and Determinants question

2022 · 27 Jul · Shift 1 · Q27
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  5. /2022 · 27 Jul · Shift 1 · Q27

Matrices and Determinants question

2022 · 27 Jul · Shift 1 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=(12−2−5)A=\left(\begin{array}{cc}1 & 2 \\ -2 & -5\end{array}\right)A=(1−2​2−5​). Let α,β∈R\alpha, \beta \in \mathbb{R}α,β∈R be such that αA2+βA=2I\alpha A^{2}+\beta A=2 IαA2+βA=2I. Then α+β\alpha+\betaα+β is equal to
  1. A
    −-− 10
  2. B
    −-− 6
  3. C
    6
  4. D
    10
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