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fahickman/matrices.html

Created April 10, 2020 18:21
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matrices.html
<!DOCTYPE html>
<html>
<head>
<script type="text/javascript" async
src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML">
</script>
</head>
<body>
\[\begin{matrix}
& \textit{Non-Parity} & \textit{Inverse} & \textit{Parity} & \textit{Inverse} \\
f\ne\infty,Z=0\to1
&
\begin{bmatrix}
\frac{f}{f-n} & \frac{nf}{n-f}\\
1 & 0
\end{bmatrix}
&
\begin{bmatrix}
0 & 1 \\
\frac{n-f}{nf} & \frac{1}{n}
\end{bmatrix}
&
\begin{bmatrix}
\frac{f}{n-f} & \frac{nf}{n-f}\\
-1 & 0
\end{bmatrix}
&
\begin{bmatrix}
0 & -1 \\
\frac{n-f}{nf} & \frac{1}{n}
\end{bmatrix}
\\
f\ne\infty,Z=1\to0 &
\begin{bmatrix}
\frac{n}{n-f}&\frac{nf}{f-n}\\
1&0
\end{bmatrix}&
\begin{bmatrix}
0&1\\
\frac{f-n}{nf}&\frac{1}{n}
\end{bmatrix}
&
\begin{bmatrix}
\frac{n}{f-n}&\frac{nf}{f-n}\\
-1&0
\end{bmatrix}&
\begin{bmatrix}
0&-1\\
\frac{f-n}{nf}&\frac{1}{f}
\end{bmatrix}
\\
f=\infty,Z=0\to1
&
\begin{bmatrix}
1 & -n\\
1 & 0
\end{bmatrix}
&
\begin{bmatrix}
0 & 1 \\
-\frac{1}{n} & \frac{1}{n}
\end{bmatrix}
&
\begin{bmatrix}
-1&-n\\
-1 & 0
\end{bmatrix}
&
\begin{bmatrix}
0 & -1 \\
-\frac{1}{n} & \frac{1}{n}
\end{bmatrix}
\\
f=\infty,Z=1\to0 &
\begin{bmatrix}
0&n\\
1&0
\end{bmatrix}&
\begin{bmatrix}
0&1\\
\frac{1}{n}&0
\end{bmatrix}
&
\begin{bmatrix}
0&n\\
-1&0
\end{bmatrix}&
\begin{bmatrix}
0&-1\\
\frac{1}{n}&0
\end{bmatrix}
\\
\end{matrix}
\]
<script type="text/javascript" src="https://www.hostmath.com/Math/MathJax.js?config=OK"></script>
</body>
</html>
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