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Matrices and Determinants question

2024 · 29 Jan · Shift 1 · Q38

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JEE Main
Mathematics
Matrices and Determinants
2024 · 29 Jan · Shift 1 · Q38

Matrices and Determinants question

2024 · 29 Jan · Shift 1 · Q38

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

\text { Let } A=\left[\begin{array}{lll} 1 & 0 & 0 \\ 0 & \alpha & \beta \\ 0 & \beta & \alpha \end{array}\right] \text { and }|2 \mathrm{~A}|^3=2^{21} \text { where } \alpha, \beta \in Z \text {, Then a value of } \alpha \text { is }

A
9
B
17
C
3
D
5

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