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Cofactor

If Δ = 5 3...

Question

If $Δ = ∣ ∣ ∣ ∣ \begin{matrix} 5 & 3 & 8 2 & 0 & 1 1 & 2 & 3 \end{matrix} ∣ ∣ ∣ ∣$ , write the cofactor of the element $a_{32}$

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Solution

Cofactor of $a_{32} = (- 1)^{3 + 2} ∣ ∣ ∣ \begin{matrix} 5 & 8 2 & 1 \end{matrix} ∣ ∣ ∣ = - (5 - 16) = 11$

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