Editing Minor (linear algebra) (section)

==A remark about different notation==
In some books, instead of ''cofactor'' the term ''adjunct'' is used.<ref>[[Felix Gantmacher]], ''Theory of matrices'' (1st ed., original language is Russian), Moscow: State Publishing House of technical and theoretical literature, 1953, p.491,</ref> Moreover, it is denoted as {{math|'''A'''<sub>''ij''</sub>}} and defined in the same way as cofactor:
<math display=block>\mathbf{A}_{ij} = (-1)^{i+j} \mathbf{M}_{ij}</math>

Using this notation the inverse matrix is written this way:
<math display=block>\mathbf{M}^{-1} = \frac{1}{\det(M)}\begin{bmatrix}
  A_{11}  & A_{21} & \cdots &   A_{n1}   \\
  A_{12}  & A_{22} & \cdots &   A_{n2}   \\
   \vdots & \vdots & \ddots & \vdots \\
  A_{1n}  & A_{2n} & \cdots &  A_{nn}
\end{bmatrix} </math>

Keep in mind that ''adjunct'' is not [[adjugate]] or [[adjoint]]. In modern terminology, the "adjoint" of a matrix most often refers to the corresponding  [[adjoint operator]].