Determinant van $$$\left[\begin{array}{cc}3 & -2\\1 & -1\end{array}\right]$$$
Gerelateerde rekenmachine: Rekenmachine voor cofactormatrix
Uw invoer
Bereken $$$\left|\begin{array}{cc}3 & -2\\1 & -1\end{array}\right|$$$.
Oplossing
De determinant van een 2x2-matrix is $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.
$$$\left|\begin{array}{cc}3 & -2\\1 & -1\end{array}\right| = \left(3\right)\cdot \left(-1\right) - \left(-2\right)\cdot \left(1\right) = -1$$$
Antwoord
$$$\left|\begin{array}{cc}3 & -2\\1 & -1\end{array}\right| = -1$$$A
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