Determinante/6 10 15/Ergänzung/Finde/Aufgabe

Finde ganze Zahlen ${}a,b,c,d,e,f$ derart, dass die Determinante der Matrix

{\begin{pmatrix}6&10&15\\a&b&c\\d&e&f\end{pmatrix}}

gleich

{}1

ist.

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