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authorAndreas Müller <andreas.mueller@ost.ch>2021-02-28 22:37:26 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-02-28 22:37:26 +0100
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+%
+% operatoren.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\begin{frame}[t]
+\frametitle{$X$ als Operator}
+\begin{columns}[t,onlytextwidth]
+\begin{column}{0.38\textwidth}
+\begin{block}{Polynome}
+$a(X)=a_0+a_1X+\dots+a_nX^n$
+\[
+a(X)
+=
+\begin{pmatrix}
+a_0\\a_1\\a_2\\a_3\\\vdots\\a_nX^n
+\end{pmatrix}
+\]
+\end{block}
+\end{column}
+\begin{column}{0.58\textwidth}
+\begin{block}{Multiplikation mit $X$}
+\strut
+\[
+\begin{pmatrix}
+1\\0\\0\\0\\\vdots\\0
+\end{pmatrix}
+\mapsto
+\begin{pmatrix}
+0\\1\\0\\0\\\vdots\\0
+\end{pmatrix}
+\mapsto
+\begin{pmatrix}
+0\\0\\1\\0\\\vdots\\0
+\end{pmatrix}
+\mapsto
+\begin{pmatrix}
+0\\0\\0\\1\\\vdots\\0
+\end{pmatrix}
+\mapsto\dots\mapsto
+\begin{pmatrix}
+0\\0\\0\\0\\\vdots\\1
+\end{pmatrix}
+\]
+\end{block}
+\end{column}
+\end{columns}
+\end{frame}