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Matrices and Determinants question

2025 · 29 Jan · Shift 1 · Q47

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JEE Main
Mathematics
Matrices and Determinants
2025 · 29 Jan · Shift 1 · Q47

Matrices and Determinants question

2025 · 29 Jan · Shift 1 · Q47

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1

Let

S=\left\{m \in \mathbf{Z}: A^{m^2}+A^m=3 I-A^{-6}\right\}

, where

A=\left[\begin{array}{cc}2 & -1 \\ 1 & 0\end{array}\right]

. Then

n(S)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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