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+%
+% matrixalgebra.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\bgroup
+
+\newtcbox{\myboxA}{blank,boxsep=0mm,
+clip upper,minipage,
+width=31.0mm,height=17.0mm,nobeforeafter,
+borderline={0.0pt}{0.0pt}{white},
+}
+\definecolor{magenta}{rgb}{0.8,0.2,0.8}
+
+\begin{frame}[t]
+\frametitle{Matrix-Algebra}
+\vspace{-10pt}
+\[
+\begin{pmatrix}
+a_{11}&\dots &a_{1n}\\
+\vdots&\ddots&\vdots\\
+a_{m1}&\dots &a_{mn}
+\end{pmatrix}
++
+\begin{pmatrix}
+b_{11}&\dots &b_{1n}\\
+\vdots&\ddots&\vdots\\
+b_{m1}&\dots &b_{mn}
+\end{pmatrix}
+=
+\begin{pmatrix}
+a_{11}+b_{11}&\dots &a_{1n}+b_{1n}\\
+\vdots&\ddots&\vdots\\
+a_{m1}+b_{m1}&\dots &a_{mn}+b_{mn}
+\end{pmatrix}
+\]
+\[
+\lambda
+\begin{pmatrix}
+a_{11}&\dots &a_{1n}\\
+\vdots&\ddots&\vdots\\
+a_{m1}&\dots &a_{mn}
+\end{pmatrix}
+=
+\begin{pmatrix}
+\lambda a_{11}&\dots &\lambda a_{1n}\\
+\vdots&\ddots&\vdots\\
+\lambda a_{m1}&\dots &\lambda a_{mn}
+\end{pmatrix}
+\]
+\uncover<2->{%
+\begin{center}
+\begin{tikzpicture}[>=latex,thick]
+\begin{scope}[xshift=-4.5cm]
+\node at (1.5,1.53) {$\left(\myboxA{}\right)$};
+\draw[color=red,line width=3pt] (0,2) -- (3,2);
+\draw (0,0) rectangle (3,3);
+\end{scope}
+\node at (-0.75,1.5) {$\mathstrut\cdot\mathstrut$};
+\begin{scope}[xshift=0cm]
+\node at (1.5,1.53) {$\left(\myboxA{}\right)$};
+\draw[color=blue,line width=3pt] (2.7,0) -- (2.7,3);
+\draw (0,0) rectangle (3,3);
+\end{scope}
+\node at (3.75,1.5) {$\mathstrut=\mathstrut$};
+\begin{scope}[xshift=4.5cm]
+\node at (1.5,1.53) {$\left(\myboxA{}\right)$};
+\draw[color=gray,line width=1pt] (2.7,0) -- (2.7,3);
+\draw[color=gray,line width=1pt] (0,2) -- (3,2);
+\fill[color=magenta] (2.7,2) circle[radius=0.12];
+\draw (0,0) rectangle (3,3);
+\end{scope}
+\end{tikzpicture}
+\end{center}}
+\end{frame}
+
+\egroup