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Benedict Irwin edited Complex.tex
over 9 years ago
Commit id: 21d8b4567ce684c51c7ca87da2766656fca13d6a
deletions | additions
diff --git a/Complex.tex b/Complex.tex
index 2c52765..1193678 100644
--- a/Complex.tex
+++ b/Complex.tex
...
\begin{bmatrix} ae-dh & af+dg \\ cg-bf & ch+be \end{bmatrix}
\end{equation}
Term by term \begin{equation}
\mat{a_{11}}{a_{12}}{a_{21}}{a_{22}}\#\mat{b_{11}}{b_{12}}{b_{21}}{b_{22}}
=
\mat{a_{11}b_{11}-a_{22}b_{22}}{a_{11}b_{12}+a_{22}b_{21}}{a_{21}b_{21}-a_{12}b_{12}}{a_{21}b_{22}+a_{12}b_{11}}
\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}\\