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author | Andreas Müller <andreas.mueller@othello.ch> | 2021-02-16 22:05:38 +0100 |
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committer | Andreas Müller <andreas.mueller@othello.ch> | 2021-02-16 22:05:38 +0100 |
commit | 69c5a77e6f008330327f2697f9c77cea6f2e1c3a (patch) | |
tree | 83d7adac3f35346ae363e11128d5699bbe466c3b /vorlesungen/slides/1/speziell.tex | |
parent | start making slides (diff) | |
download | SeminarMatrizen-69c5a77e6f008330327f2697f9c77cea6f2e1c3a.tar.gz SeminarMatrizen-69c5a77e6f008330327f2697f9c77cea6f2e1c3a.zip |
chapter 1 slides
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-rw-r--r-- | vorlesungen/slides/1/speziell.tex | 43 |
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diff --git a/vorlesungen/slides/1/speziell.tex b/vorlesungen/slides/1/speziell.tex new file mode 100644 index 0000000..87b767a --- /dev/null +++ b/vorlesungen/slides/1/speziell.tex @@ -0,0 +1,43 @@ +% +% 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} |