JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)Let S={m∈Z:Am2+Am=3I−A−6}\mathbf{S} = \{m \in \mathbf{Z}: \mathbf{A}^{m^2} + \mathbf{A}^m = 3 \mathbf{I} - \mathbf{A}^{-6}\}S={m∈Z:Am2+Am=3I−A−6}, where A=[2−110]\mathbf{A} = \left[\begin{array}{cc} 2 & -1 \\ 1 & 0 \end{array}\right]A=[21−10]. Then n(S)n(\mathbf{S})n(S) is equal toYour answerInteger or decimalCheckStep-by-step hintSkip · show solution
