From 69c5a77e6f008330327f2697f9c77cea6f2e1c3a Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Tue, 16 Feb 2021 22:05:38 +0100 Subject: chapter 1 slides --- vorlesungen/slides/1/speziell.tex | 43 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 43 insertions(+) create mode 100644 vorlesungen/slides/1/speziell.tex (limited to 'vorlesungen/slides/1/speziell.tex') 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} -- cgit v1.2.1