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author | michael-OST <75078383+michael-OST@users.noreply.github.com> | 2021-05-01 17:36:44 +0200 |
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committer | michael-OST <75078383+michael-OST@users.noreply.github.com> | 2021-05-01 17:36:44 +0200 |
commit | 3bd00062af2b2bbd04a82172eacb185119d09387 (patch) | |
tree | 7fd7ab0b94bf6bdd01e8cddcce598805e27675d9 /vorlesungen/slides/6/permutationen | |
parent | Handout animation deleted (diff) | |
parent | Merge remote-tracking branch 'upstream/master' (diff) | |
download | SeminarMatrizen-3bd00062af2b2bbd04a82172eacb185119d09387.tar.gz SeminarMatrizen-3bd00062af2b2bbd04a82172eacb185119d09387.zip |
Merge branch 'master' into Steiner
Diffstat (limited to 'vorlesungen/slides/6/permutationen')
-rw-r--r-- | vorlesungen/slides/6/permutationen/matrizen.tex | 14 |
1 files changed, 9 insertions, 5 deletions
diff --git a/vorlesungen/slides/6/permutationen/matrizen.tex b/vorlesungen/slides/6/permutationen/matrizen.tex index 346993d..d40c396 100644 --- a/vorlesungen/slides/6/permutationen/matrizen.tex +++ b/vorlesungen/slides/6/permutationen/matrizen.tex @@ -20,6 +20,7 @@ e_i \mapsto e_{\sigma(i)} \] ($e_i$ Standardbasisvektor) \end{block} +\uncover<2->{% \begin{block}{Lineare Abbildung} $f$ kann erweitert werden zu einer linearen Abbildung \[ @@ -31,9 +32,10 @@ $f$ kann erweitert werden zu einer linearen Abbildung \mapsto \sum_{k=1}^n a_i f(e_i) \] -\end{block} +\end{block}} \end{column} \begin{column}{0.48\textwidth} +\uncover<3->{% \begin{block}{Permutationsmatrix} Matrix $A_{\tilde{f}}$ der linearen Abbildung $\tilde{f}$ hat die Matrixelemente @@ -45,10 +47,11 @@ a_{ij} 0&\qquad\text{sonst} \end{cases} \] -\end{block} +\end{block}} \vspace{-10pt} +\uncover<4->{% \begin{block}{Beispiel} -\vspace{-20pt} +\vspace{-10pt} \[ \begin{pmatrix} 1&2&3&4\\ @@ -62,13 +65,14 @@ a_{ij} 0&0&1&0 \end{pmatrix} \] -\end{block} +\end{block}} \vspace{-10pt} +\uncover<5->{% \begin{block}{Homomorphismus} Die Abbildung $S_n\to\operatorname{GL}(\Bbbk)\colon \sigma \mapsto A_{\tilde{f}}$ ist ein Homomorphismus -\end{block} +\end{block}} \end{column} \end{columns} \end{frame} |