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Benedict Irwin edited Complex.tex
over 9 years ago
Commit id: 91a17c5947f13042bbda10fb6802986b9ad729a5
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\mat{a_{00}b_{00}-a_{11}b_{11}}{a_{00}b_{01}+a_{11}b_{10}}{a_{10}b_{10}-a_{01}b_{01}}{a_{10}b_{11}+a_{01}b_{00}}
\end{equation}
After a fair amount of thinking this has a general formula \begin{equation}
M_{ij}=\sum_{k=0}^1 a_{i \oplus k,k}b_{i \oplus k,j \oplus k}
\end{equation}
We have the following results \begin{equation}
\begin{bmatrix}1&0\\0&0\end{bmatrix}\#\mat{1}{1}{1}{1}=\begin{bmatrix}1&1\\0&0\end{bmatrix}\\
\begin{bmatrix}0&1\\0&0\end{bmatrix}\#\mat{1}{1}{1}{1}=\begin{bmatrix}0&0\\-1&1\end{bmatrix}\\