For some α, β ∈ R, let A = α 2 1 2 and B = 1 1 1 β be such that A… | JEE Main 2026 Mathematics PYQ

NVAHardJEE Main 2026 · 21 January, Shift 1Inverse & Adjoint of a Matrix

For some $\alpha, \beta \in R$ , let $A = \begin{pmatrix} \alpha & 2 \\ 1 & 2 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 1 \\ 1 & \beta \end{pmatrix}$ be such that $A^2-4A+2I = B^2-3B+I = O$ . Then $(\det(\operatorname{adj}(A^3-B^3)))^2$ is equal to:

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