Determinant van $$$\left[\begin{array}{cc}11 & -2\\12 & -1\end{array}\right]$$$
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Uw invoer
Bereken $$$\left|\begin{array}{cc}11 & -2\\12 & -1\end{array}\right|$$$.
Oplossing
De determinant van een 2x2-matrix is $$$\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c$$$.
$$$\left|\begin{array}{cc}11 & -2\\12 & -1\end{array}\right| = \left(11\right)\cdot \left(-1\right) - \left(-2\right)\cdot \left(12\right) = 13$$$
Antwoord
$$$\left|\begin{array}{cc}11 & -2\\12 & -1\end{array}\right| = 13$$$A
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