< Binäre Oktaedergruppe < C < Eigenvektoren
Bestimme die
Eigenwerte
und die
Eigenvektoren
der
Matrix
1
2
(
ζ
7
ζ
7
ζ
5
ζ
)
{\displaystyle {\frac {1}{\sqrt {2}}}{\begin{pmatrix}\zeta ^{7}&\zeta ^{7}\\\zeta ^{5}&\zeta \end{pmatrix}}}
mit
ζ
=
1
+
i
2
{\displaystyle {}\zeta ={\frac {1+{\mathrm {i} }}{\sqrt {2}}}}
.
Eine Lösung erstellen
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