Lecture on Co-factor
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Cofactor of an element in a determinant

A = \( \begin{vmatrix}a11&a12&a13\\a21&a22&a23\\a31&a32&a33\end{vmatrix} aij=Mij*(-1)^(i+j) \)

\(​cf(a32)=A32=M32*(-1)^(3+2) \)

\(-1* \begin{vmatrix}a11&a13\\a21&a23\end{vmatrix} \)
 

Sum of product of elements of rows with its corresponding cofactors = value of determinant

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