Q/Zwei Quadratwurzeln/Primzahl/Multiplikationsmatrix/Aufgabe

Es seien ${}p,q$ verschiedene Primzahlen und

{}\mathbb {Q} \subseteq \mathbb {Q} [{\sqrt {p}},{\sqrt {q}}]=:L\,

Erstelle die Multiplikationsmatrix zu einem Element

{}a+b{\sqrt {p}}+c{\sqrt {q}}+d{\sqrt {pq}}\in L

bezüglich der Basis

{}1,{\sqrt {p}},{\sqrt {q}},{\sqrt {pq}}

.

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