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Minors and cofactors

Determinants

Concept 2 of 10 in Determinants

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Think about this

Expand ∣210131012∣\begin{vmatrix} 2 & 1 & 0 \\ 1 & 3 & 1 \\ 0 & 1 & 2 \end{vmatrix} along row 1 and you get 88. Along row 2, with the signs +−++ - +: 1(2)−3(4)+1(2)=−81(2) - 3(4) + 1(2) = -8. Same determinant, two answers. Which one went wrong?