Sei ${\displaystyle {}n\in \mathbb {N} _{+}}$. Zeige, dass die ${\displaystyle {}n}$ Vektoren (im ${\displaystyle {}\mathbb {C} ^{n}}$)

${\displaystyle (1,\zeta ,\zeta ^{2},\ldots ,\zeta ^{n-1}),\zeta \in \mu _{n}(\mathbb {C} ),}$

linear unabhängig