For a square matrix M ∈ Mat n ( K ) {\displaystyle {}M\in \operatorname {Mat} _{n}(K)} , we call
the adjugate matrix of M {\displaystyle {}M} , where M j i {\displaystyle {}M_{ji}} arises from M {\displaystyle {}M} by deleting the j {\displaystyle {}j} -th row and the i {\displaystyle {}i} -th column.