Home/Algebra/Determinants and inverses/Cofactor expansion17. Determinants and inversesCofactor expansionLevel: intermedioIn 17. Determinants and inversesFormulaCopy LaTeXdet(A)=∑jaijCij\det(A)=\sum_j a_{ij}C_{ij}det(A)=j∑aijCijTagsalgebradeterminantsdeterminants inversealgebra formulalinearDetailExpands a determinant along a row or column.Explore the ideaComputational complexityShow (CS mode)Found an error? Contact us.Related formulasRelated2×2 determinantdet(abcd)=ad−bc\det\begin{pmatrix}a&b\\c&d\end{pmatrix}=ad-bcdet(acbd)=ad−bcOpen formulaOpen in sectionRelatedDeterminant of a productdet(AB)=det(A)det(B)\det(AB)=\det(A)\det(B)det(AB)=det(A)det(B)Open formulaOpen in section