MCQMediumJEE Main 2024 · 29 January, Shift 1Determinants Basics

Mathematics Question from JEE Main 2024 · 29 January, Shift 1

Let A=[1000αβ0βα]A = \begin{bmatrix}1 & 0 & 0\\0 & \alpha & \beta\\0 & \beta & \alpha\end{bmatrix} and 2A3=221|2A|^3 = 2^{21}, where α,βZ\alpha, \beta \in \mathbb{Z}. Then a value of α\alpha is:

  • A

    33

  • B

    55

  • C

    1717

  • D

    99

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