Es sei M ∈ Mat n ( Q ) {\displaystyle {}M\in \operatorname {Mat} _{n}(\mathbb {Q} )} . Zeige, dass es egal ist, ob man die Determinante in Q {\displaystyle {}\mathbb {Q} } , in R {\displaystyle {}\mathbb {R} } oder in C {\displaystyle {}{\mathbb {C} }} ausrechnet.
