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Determinante von $$$\left[\begin{array}{cc}3 & 1\\-7 & 2\end{array}\right]$$$
Verwandter Rechner: Kofaktormatrix-Rechner
Ihre Eingabe
Berechne $$$\left|\begin{array}{cc}3 & 1\\-7 & 2\end{array}\right|$$$.
Lösung
Die Determinante einer 2x2-Matrix ist $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.
$$$\left|\begin{array}{cc}3 & 1\\-7 & 2\end{array}\right| = \left(3\right)\cdot \left(2\right) - \left(1\right)\cdot \left(-7\right) = 13$$$
Antwort
$$$\left|\begin{array}{cc}3 & 1\\-7 & 2\end{array}\right| = 13$$$A
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