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+%
+% kernbild.tex -- Kern und Bild einer Matrix
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\definecolor{darkgreen}{rgb}{0,0.4,0}
+\definecolor{turqoise}{rgb}{0,0.3,0.6}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\begin{scope}[xshift=-3.5cm]
+\node at (0,0) {\includegraphics[width=6.8cm]{bild2.jpg}};
+
+\fill[color=white,opacity=0.8] (-3,-2.75) rectangle (-2,-2.3);
+\node[color=orange] at (-2.5,-2.5) {$\mathcal{J}^1(A)$};
+\node at (3.3,0) {$x_1$};
+\node at (0.3,3.2) {$x_3$};
+\node[color=purple] at (2.3,0.6) [rotate=8] {$\mathcal{J}^2(A)$};
+\end{scope}
+
+\begin{scope}[xshift=3.5cm]
+\node at (0,0) {\includegraphics[width=6.8cm]{kern2.jpg}};
+\node[color=darkgreen] at (1.8,2.2) [rotate=58] {$\mathcal{K}^1(A)$};
+\fill[color=white,opacity=0.8] (-1.5,0.8) rectangle (-0.5,1.2);
+\node[color=turqoise] at (-1,1) {$\mathcal{K}^2(A)$};
+\node at (3.3,0) {$x_1$};
+\node at (0.3,3.2) {$x_3$};
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+