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If $$A = \begin{bmatrix}1 & 0 \\ \frac{1}{2} & 0 \end{bmatrix}$$. Then $$A^{2022}$$ is
$$\begin{bmatrix}1 & 0 \\ \frac{1}{2^{2022}} & 0 \end{bmatrix}$$
$$\begin{bmatrix}1 & 0 \\ 2011 & 0 \end{bmatrix}$$
None of these
$$\begin{bmatrix}1 & 0 \\ 2011 & 1 \end{bmatrix}$$
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