this is for holding javascript data
Benedict Irwin edited Complex.tex
over 9 years ago
Commit id: 0532aafe2f9bcc5ccfc789348e683ac5324bcd3e
deletions | additions
diff --git a/Complex.tex b/Complex.tex
index 190313a..dcfec50 100644
--- a/Complex.tex
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\begin{bmatrix}a \\ b \\ c \\ d \end{bmatrix}=\frac{1}{eg+fh}\begin{bmatrix}g&h&0&0\\0&0&-h&g\\0&0&e&f\\-f&e&0&0\end{bmatrix}
\begin{bmatrix}1 \\ 0 \\ 0 \\ 1 \end{bmatrix}=\frac{1}{eg+fh}\begin{bmatrix}g\\g\\f\\-f\end{bmatrix}\end{equation}
%This This gives the general formula for the 'cross inverse' of a 2 by 2 matrix as \begin{equation}
%\begin{bmatrix} a&b\\c&d\end{bmatrix}^{-1}=\frac{1}{ac+bd}\begin{bmatrix}c & -d \\ \mat{a}{b}{c}{d}^{-1}=\frac{1}{ac+bd}\mat{c}{c}{b}{-b}
\end{equation}
Which is very curious as it only relies on all of the elements weakly in the form of a
& -b \end{bmatrix}
%\end{equation} coefficient.