this is for holding javascript data
Benedict Irwin edited Combination.tex
over 9 years ago
Commit id: bcc61cf741bb2aa308ec43954e399c3d7e8042cd
deletions | additions
diff --git a/Combination.tex b/Combination.tex
index 36fb00c..663a1c7 100644
--- a/Combination.tex
+++ b/Combination.tex
...
\end{bmatrix}
\end{equation}
We also then know that \begin{equation}
\frac{1}{|A|}
\begin{bmatrix}
\phi_{11} & \phi_{12} & \phi_{13} \\ \phi_{21} & \phi_{22} & \phi_{23} \\ \phi_{31} & \phi_{32} & \phi_{33}
\end{bmatrix}
\begin{bmatrix}
\Psi(r_2,r_3) &
\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} &
\Psi(r_1,r_3) &
\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} &
\Psi(r_1,r_2)
\end{bmatrix}
=
\begin{bmatrix}
1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1
\end{bmatrix}
\end{equation}