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-rw-r--r--buch/chapters/40-eigenwerte/grundlagen.tex58
1 files changed, 1 insertions, 57 deletions
diff --git a/buch/chapters/40-eigenwerte/grundlagen.tex b/buch/chapters/40-eigenwerte/grundlagen.tex
index 55c3344..dbc19ce 100644
--- a/buch/chapters/40-eigenwerte/grundlagen.tex
+++ b/buch/chapters/40-eigenwerte/grundlagen.tex
@@ -346,63 +346,7 @@ $b_{ij}=0$ für $i+k>j$ und $c_{ij}=0$ für $i+l>j$.
In der folgenden graphischen Darstellung der Matrizen sind die
Bereiche, wo die Matrixelemente verschwinden, weiss.
\begin{center}
-
-\newtcbox{\myboxA}{blank,boxsep=0mm,
-clip upper,minipage,
-width=31.0mm,height=17.0mm,nobeforeafter,
-borderline={0.0pt}{0.0pt}{white},
-}
-
-\begin{tikzpicture}[>=latex,thick]
-
-\def\cx{1.8}
-\def\cy{1.2}
-
-\draw[line width=0.3pt] (-3,2.5) -- (6,2.5);
-
-\begin{scope}[xshift=-4cm]
-\node at (1.5,1.53) {$\left(\myboxA{}\right)$};
-\fill[color=red!30] (0.5,3) -- (3,0.5) -- (3,3) -- cycle;
-\draw (0,0) rectangle (3,3);
-\draw (0,3) -- (3,0);
-\node at ({\cx+0.5*0.5},{\cy+0.5*0.5}) [rotate=-45] {$k$};
-\draw[color=blue,line width=1.4pt] (0,2.5) -- (1.0,2.5);
-\draw[color=red,line width=1.4pt] (1.0,2.5) -- (3,2.5);
-\node at (1,1) {$B$};
-\node at (-0.3,2.5) [left] {$i$};
-\node at (1,2.5) [above right] {$i+k$};
-\end{scope}
-
-\node at (-0.5,1.5) {$\mathstrut\cdot\mathstrut$};
-
-\begin{scope}
-\node at (1.5,1.53) {$\left(\myboxA{}\right)$};
-\fill[color=red!30] (1.0,3) -- (3,1.0) -- (3,3) -- cycle;
-\draw (0,0) rectangle (3,3);
-\draw (0,3) -- (3,0);
-\node at ({\cx+1.0*0.5},{\cy+1.0*0.5}) [rotate=-45] {$l$};
-\draw[color=red,line width=1.4pt] (2,3)--(2,2);
-\draw[color=blue,line width=1.4pt] (2,2)--(2,0);
-\node at (1,1) {$C$};
-\node at (2,3) [above] {$j$};
-\node at (2,2) [above right] {$j-l$};
-\end{scope}
-
-\node at (3.5,1.5) {$\mathstrut=\mathstrut$};
-
-\begin{scope}[xshift=4cm]
-\node at (1.5,1.53) {$\left(\myboxA{}\right)$};
-\fill[color=red!30] (1.5,3) -- (3,1.5) -- (3,3) -- cycle;
-\draw (0,0) rectangle (3,3);
-\draw (0,3) -- (3,0);
-\node at ({\cx+1.5*0.5},{\cy+1.5*0.5}) [rotate=-45] {$k+l$};
-\fill[color=red!50!blue] (2,2.5) circle[radius=0.1];
-\draw[line width=0.3pt] (2,3) -- (2,2.5);
-\node at (2,3) [above] {$j$};
-\node at (1,1) {$D$};
-\end{scope}
-
-\end{tikzpicture}
+\includegraphics{chapters/40-eigenwerte/images/nilpotent.pdf}
\end{center}
Bei der Berechnung des Elementes $d_{ij}$ wird die Zeile $i$ von $B$
mit der Spalte $j$ von $C$ multipliziert.