Acidic oxide: Cl2O7, SiO2, N2O5
Neutral oxide: CO, NO, N2O
Amphoteric oxide: Al2O3, SnO2, PbO2
Given below are two statements:
Statement (I): An element in the extreme left of the periodic table forms acidic oxides.
Statement (II): Acid is formed during the reaction between water and oxide of a reactive element present in the extreme right of the periodic table.
In the light of the above statements, choose the correct answer from the options given below:
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 ______.