# Jacobi formula

## Main Question or Discussion Point

Can anyone explain to me what is the cofactor matrix? I have trouble finding on the net the intuition behind it. Likewise what is the meaning of the adjugate matrix?

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Matterwave
Hopefully you learned how to take co-factors when finding determinants. The cofactor of some entry $A_{ij}$ in a matrix $\bf{A}$ is the determinant of the resulting matrix when you delete the ith row and j'th column of the matrix $\bf{A}$ and then accounting for an alternating sign, a factor of $(-1)^{i+j}$.