Let $A=\left[\begin{array}{cc}\frac{1}{\sqrt{10}} & \frac{3}{\sqrt{10}} \\ \frac{-3}{\sqrt{10}} & \frac{1}{\sqrt{10}}\end{array}\right]$ and $B=\left[\begin{array}{cc}1 & -i \\ 0 & 1\end{array}\right]$, where $i=\sqrt{-1}$. If $M=A^{\top} B A$, then the inverse of the matrix $\mathrm{AM}^{2023} \mathrm{~A}^{\top}$ is
Select the correct option:
A
$\left[\begin{array}{cc}1 & -2023 i \\ 0 & 1\end{array}\right]$
B
$\left[\begin{array}{cc}1 & 0 \\ -2023 i & 1\end{array}\right]$
C
$\left[\begin{array}{cc}1 & 0 \\ 2023 i & 1\end{array}\right]$
D
$\left[\begin{array}{cc}1 & 2023 i \\ 0 & 1\end{array}\right]$
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