chapter 1 slides

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+%
+% speziell.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\begin{frame}[t]
+\begin{columns}[t,onlytextwidth]
+\begin{column}{0.38\textwidth}
+\frametitle{Diagonalmatrizen}
+\begin{block}{Einheitsmatrix}
+\[
+I=\begin{pmatrix}
+1&0&\dots&0\\
+0&1&\dots&0\\
+\vdots&\vdots&\ddots&\vdots\\
+0&0&\dots&1
+\end{pmatrix}
+\]
+Neutrales Element der Matrixmultiplikation:
+\[
+AI=IA=A
+\]
+\end{block}
+\end{column}
+\begin{column}{0.58\textwidth}
+\begin{block}{Diagonalmatrix}
+\[
+\operatorname{diag}(\lambda_1,\lambda_2,\dots,\lambda_n)
+=
+\begin{pmatrix}
+\lambda_1&0&\dots&0\\
+0&\lambda_2&\dots&0\\
+\vdots&\vdots&\ddots&\vdots\\
+0&0&\dots&\lambda_n
+\end{pmatrix}
+\]
+\end{block}
+\begin{block}{Hadamard-Algebra}
+Die Algebra der Diagonalmatrizen ist die Hadamard-Algebra
+\end{block}
+\end{column}
+\end{columns}
+\end{frame}