Statement I: A concave lens diverges light and does not have a centre of curvature for image formation in the context of lens theory. The centre of curvature is a concept applicable to mirrors, not lenses. Hence, Statement I is false.
Statement II: A concave lens always forms a virtual, erect, and diminished image irrespective of the position of the object. This is a fundamental property of concave lenses. Hence, Statement II is true.
Final Answer: (1) Statement I is false but Statement II is true.
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 ______.