add colors to 3x3 det

Lineare-Algebra.tex

@@ -195,7 +195,7 @@ \subsection{Determinante}
     \draw[thin, blue] (extended-1-2.north east) -- (m-3-3.south west);
 \end{tikzpicture}
 \]
-$=a_{11}a_{22}a_{33}+a_{12}a_{23}a_{31}+a_{13}a_{21}a_{32}-a_{12}a_{21}a_{33}-a_{11}a_{23}a_{32}-a_{13}a_{22}a_{31}$
+$=\textcolor{red!70!white}{a_{11}a_{22}a_{33}+a_{12}a_{23}a_{31}+a_{13}a_{21}a_{32}}\textcolor{blue!70!white}{-a_{12}a_{21}a_{33}-a_{11}a_{23}a_{32}-a_{13}a_{22}a_{31}}$
 \item $\det\begin{pmatrix}A&0\\C&D\end{pmatrix}=\det\begin{pmatrix}A&B\\0&D\end{pmatrix}=\det(A)\cdot\det(D)$
 \item $\begin{vmatrix}\lambda_1&&* \\ &\ddots& \\ 0&&\lambda_n \end{vmatrix} = \lambda_1\cdot \ldots\cdot \lambda_n = \begin{vmatrix} \lambda_1&&0  \\  &\ddots& \\  *&&\lambda_n \end{vmatrix}$
 \item $A=B \cdot C \quad \Rightarrow \quad |A|=|B| \cdot |C|$