Es sei n ∈ N + {\displaystyle {}n\in \mathbb {N} _{+}} und sei ζ = e 2 π i n {\displaystyle {}\zeta =e^{\frac {2\pi {\mathrm {i} }}{n}}} . Berechne die Determinante der ( n × n ) {\displaystyle {}(n\times n)} -Matrix
für n = 1 , 2 , 3 , 4 {\displaystyle {}n=1,2,3,4} .