Let and where Then a value of α is..........|Matrices

JEE MAIN

29-01-24 S1

Question

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

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JEE Main

Mathematics

Easy

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