Let S = { m ∈ ℤ: A^m² + A^m = 3I - A⁻⁶ }, where A = 2 -1 1 0 Then… | JEE Main 2025 Mathematics PYQ

NVAMediumJEE Main 2025 · 29 January, Shift 1Algebra of Matrices

Let $S = \left\{ m \in \mathbb{Z} : A^{m^2} + A^m = 3I - A^{-6} \right\}, \quad \text{where} \quad A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix}$ Then $n(S)$ is equal to:

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