Let B = 1 3 1 5 and A be a 2 × 2 matrix such that AB⁻¹ = A⁻¹. If… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 6 April, Shift 2Inverse & Adjoint of a Matrix

Let $B = \begin{bmatrix} 1 & 3 \\ 1 & 5 \end{bmatrix}$ and $A$ be a $2 \times 2$ matrix such that $AB^{-1} = A^{-1}$ . If $BCB^{-1} = A$ and $C^4 + \alpha C^2 + \beta I = O$ , then $2\beta - \alpha$ is equal to:

A
$16$
B
$2$
C
$8$
D
$10$

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