How can I calculate the inverse of $$H = \pmatrix{ h_{00} & h_{01} \\ h_{10} & h_{11}},$$ where $h_{00}$, $h_{01}$, $h_{10}$, and $h_{11}$ are complex numbers?
2026-04-12 09:32:48.1775986368
How to calculate the inverse of a complex matrix?
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It is exactly the same as it is for a real matrix. Let $a, b, c, d \in \mathbb{C}$ with $ad - bc \neq 0$ then $$\left[\begin{matrix} a& b\\ c & d\end{matrix}\right]^{-1} = \frac{1}{ad-bc}\left[\begin{matrix}d & -b\\ -c & a\end{matrix}\right].$$