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Question:

If Δ = \begin{vmatrix} 5 & 3 & 8 \ 2 & 0 & 1 \ 1 & 2 & 3 \end{vmatrix}, write the cofactor of the element a32

Solution:

Cofactor of a32 = (-1)3+2 \begin{vmatrix} 5 & 8 \ 2 & 1 \end{vmatrix} = -(5(1) - 8(2)) = -(5 - 16) = -(-11) = 11