Let and where , Then a value of is

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

Let

A = \begin{bmatrix} 1 & 0 & 0 \\ 0 & \alpha & \beta \\ 0 & \beta & \alpha \end{bmatrix}

and

|2A|^3 = 2^{21}

where

\alpha, \beta \in Z

, Then a value of

\alpha

is (A) 9 (B) 17 (C) 3 (D) 5