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authorAndreas Müller <andreas.mueller@ost.ch>2021-03-12 17:27:08 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-03-12 17:27:08 +0100
commit972eba4c4cb38eb330bd053500e627085a3f4328 (patch)
treeaf8833cc0c292addd679a7557c3f903fb3fb5ebc /vorlesungen/slides/5
parentnew slides (diff)
downloadSeminarMatrizen-972eba4c4cb38eb330bd053500e627085a3f4328.tar.gz
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Diffstat (limited to 'vorlesungen/slides/5')
-rw-r--r--vorlesungen/slides/5/unitaer.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/vorlesungen/slides/5/unitaer.tex b/vorlesungen/slides/5/unitaer.tex
index 36e3be2..f0c4401 100644
--- a/vorlesungen/slides/5/unitaer.tex
+++ b/vorlesungen/slides/5/unitaer.tex
@@ -20,11 +20,11 @@ $U$ unitär lässt das Skalarprodukt invariant
\uncover<2->{%
$\lambda$ ein Eigenwert mit Eigenvektor $v$:
\begin{align*}
-\langle u,v\rangle
+\langle v,v\rangle
&=
\langle Uu,Uv\rangle
-\uncover<3->{= \langle \lambda u,\lambda v\rangle}
-\uncover<4->{= |\lambda|^2 \langle u,v\rangle}
+\uncover<3->{= \langle \lambda v,\lambda v\rangle}
+\uncover<4->{= |\lambda|^2 \langle v,v\rangle}
\\
\uncover<5->{\Rightarrow\;|\lambda|&=1}
\end{align*}}