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Let \( A=\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right] \) then
(a) \( A^{-n}=\left[\begin{array}{cc}1 & 0 \\ -n & 1\end{array}\right] \forall n \in N_{\text {. }} \)
(b) \( A^{-n}=\left[\begin{array}{ll}1 & 0 \\ n & 1\end{array}\right] \forall n \in \mathbf{N} \)
(c) \( \lim _{n \rightarrow \infty} \frac{1}{n} A^{-n}=\left[\begin{array}{cc}0 & 0 \\ -1 & 0\end{array}\right] \)
(d) \( \lim _{n \rightarrow \infty} \frac{1}{n^{2}} A^{-n}=\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right] \)
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