Matrices and Determinants

Let A = \left[ {\matrix{ {{1 \over {\sqrt {10} }}} & {{3 \over {\sqrt {10} }}} \cr {{{ - 3} \over {\sqrt {10} }}} & {{1 \over {\sqrt {10} }}} \cr } } \right] and B = \left[ {\matrix{ 1 & { - i} \cr 0 & 1 \cr } } \right], where $i = \sqrt { - 1}$. If $\mathrm{M=A^T B A}$, then the inverse of the matrix $\mathrm{AM^{2023}A^T}$ is