this is for holding javascript data
Benedict Irwin edited Combination.tex
over 9 years ago
Commit id: 231d718fdb1ef94333aed2a052688603450254cc
deletions | additions
diff --git a/Combination.tex b/Combination.tex
index 3c3d7dc..fb8a546 100644
--- a/Combination.tex
+++ b/Combination.tex
...
\section{Combination}
If we then have some matrix of individual particle
states. states \begin{equation}
A=\begin{bmatrix}
phi_{11} & phi_{12} & phi_{13} \\ phi_{21} & phi_{22} & phi_{23} \\ phi_{31} & phi_{32} & phi_{33}
\end{bmatrix}
\end{equation}
we can calculate the inverse as \begin{equation}
A^{-1}=\frac{1}{|A|}
\begin{bmatrix}
\begin{vmatrix} phi_{22} & phi_{23} \\ phi_{32} & phi_{33}\end{vmatrix} &
\begin{vmatrix} phi_{13} & phi_{12} \\ phi_{33} & phi_{32}\end{vmatrix} &
\begin{vmatrix} phi_{12} & phi_{13} \\ phi_{22} & phi_{23}\end{vmatrix} \\
\begin{vmatrix} phi_{23} & phi_{21} \\ phi_{33} & phi_{31}\end{vmatrix} &
\begin{vmatrix} phi_{11} & phi_{13} \\ phi_{31} & phi_{33}\end{vmatrix} &
\begin{vmatrix} phi_{13} & phi_{11} \\ phi_{23} & phi_{21}\end{vmatrix} \\
\begin{vmatrix} phi_{21} & phi_{22} \\ phi_{31} & phi_{32}\end{vmatrix} &
\begin{vmatrix} phi_{12} & phi_{11} \\ phi_{32} & phi_{31}\end{vmatrix} &
\begin{vmatrix} phi_{11} & phi_{12} \\ phi_{21} & phi_{22}\end{vmatrix}
\end{bmatrix}
\end{equation}