Let S= \{m \in {Z}: A^{m^2}+A^m=3 \/-A^{-6}\}, where A=\left[\begin{array}{cc}2 & -1 \ 1 & 0]\end{array}. Then n( {\S}) is equal to [29 Jan 2025 Shift 1]

Matrices and Determinants Part 4

Section: Mathematics

Question : 37 of 58

Marks: +1, -0

Let ‌‌S={m∈Z:Am2+Am=3∕−A−6}, where A=[

2	−1
1	0

]. Then n(S) is equal to

[29 Jan 2025 Shift 1]

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2−λ	−1
1	−λ