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| author | Andreas Müller <andreas.mueller@ost.ch> | 2021-03-12 17:27:08 +0100 |
|---|---|---|
| committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-03-12 17:27:08 +0100 |
| commit | 972eba4c4cb38eb330bd053500e627085a3f4328 (patch) | |
| tree | af8833cc0c292addd679a7557c3f903fb3fb5ebc /vorlesungen/slides/5 | |
| parent | new slides (diff) | |
| download | SeminarMatrizen-972eba4c4cb38eb330bd053500e627085a3f4328.tar.gz SeminarMatrizen-972eba4c4cb38eb330bd053500e627085a3f4328.zip | |
add new slides
Diffstat (limited to 'vorlesungen/slides/5')
| -rw-r--r-- | vorlesungen/slides/5/unitaer.tex | 6 |
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*}} |