In this reaction, aniline (\( C_6H_5NH_2 \)) undergoes diazotization with sodium nitrite (\( \text{NaNO}_2 \)) and hydrochloric acid at \( 0^\circ \text{C} \). The resulting diazonium salt reacts with copper chloride (\( \text{CuCl}_2 \)) to form chlorobenzene (\( C_6H_5Cl \)).
Thus, the product \( A \) is chlorobenzene, \( C_6H_5Cl \).
The Correct Answer is: \( C_6H_5Cl \)
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.