Regn ut det(123014560)\det\begin{pmatrix} 1 & 2 & 3 \\ 0 & 1 & 4 \\ 5 & 6 & 0 \end{pmatrix}det105216340.
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Utvikling langs rad 1:
1(1⋅0−4⋅6)−2(0⋅0−4⋅5)+3(0⋅6−1⋅5)1(1\cdot 0-4\cdot 6)-2(0\cdot 0-4\cdot 5)+3(0\cdot 6-1\cdot 5)1(1⋅0−4⋅6)−2(0⋅0−4⋅5)+3(0⋅6−1⋅5)
=1(−24)−2(−20)+3(−5)=−24+40−15=1=1(-24)-2(-20)+3(-5)=-24+40-15=1=1(−24)−2(−20)+3(−5)=−24+40−15=1.
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