Matrix/Rang/4/1/Aufgabe

Bestimme, abhängig von ${}a,b,c,d$ , den Rang der Matrix

{\begin{pmatrix}a&4b&a-c&d\\0&b&b^{2}&b^{3}\\0&0&c^{2}&a^{2}\\0&0&0&d\end{pmatrix}}.

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