1.Let S={m∈Z:Am2+Am=3I−A6}S = \{m \in \mathbb{Z} : A^{m^2} + A^m = 3I - A^6\}S={m∈Z:Am2+Am=3I−A6} where AAA is a 2×22 \times 22×2 real matrix. Then n(S)n(S)n(S) is equal to:a.Option 1 (options not extracted from source PDF)b.Option 2 (options not extracted from source PDF)c.Option 3 (options not extracted from source PDF)d.Option 4 (options not extracted from source PDF)Login to continueOnly logged in users canattempt or see the solution.