Determinantenfunktion/K/Rekursiv definiert/Ist Polynom/Aufgabe

Sei ${}n\in \mathbb {N}$ . Zeige, dass die Determinante

{\mathbb {K} }^{n^{2}}\cong \operatorname {Mat} _{n\times n}({\mathbb {K} })\longrightarrow {\mathbb {K} },\,M\longmapsto \det M,

ist.

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