Cofactor matrix ($\mathrm{cof}A=(\mathrm{adj}A{)}^T=(\det A)A^{-T}$)

The cofactor matrix consists of the signed minors of a matrix. It is the transpose of the adjugate matrix. The inverse expression applies to invertible matrices; the definition by minors also applies to singular matrices. Cofactors transform oriented hypersurface area vectors in a change of variables formula.