小行列式
↑ Burnside, William Snow & Panton, Arthur William (1886) Theory of Equations: with an Introduction to the Theory of Binary Algebraic Form.
1 2 Elementary Matrix Algebra (Third edition), Franz E. Hohn, The Macmillan Company, 1973, ISBN 978-0-02-355950-1
1 2 3 Minor. Encyclopedia of Mathematics. http://www.encyclopediaofmath.org/index.php?title=Minor&oldid=30176
↑ Linear Algebra and Geometry, Igor R. Shafarevich, Alexey O. Remizov, Springer-Verlag Berlin Heidelberg, 2013, ISBN 978-3-642-30993-9
↑ Bertha Jeffreys, Methods of Mathematical Physics, p. 135, Cambridge University Press, 1999 ISBN 0-521-66402-0.
余因子により、正則行列の逆行列の成分を書き下すことができる。正方行列 A の全ての余因子を成分とする正方行列の転置行列は余因子行列 (adjungate matrix) あるいは古典随伴行列 (classicical adjoint matrix) と呼ばれ、~A や adj A で表す:
A ~ = adj  ( A ) = [ a ~ 11 a ~ 21 ⋯ a ~ n 1 a ~ 12 a ~ 22 ⋯ a ~ n 2 ⋮ ⋮ ⋱ ⋮ a ~ 1 n a ~ 2 n ⋯ a ~ n n ] {\displaystyle {\widetilde {A}}=\operatorname {adj} (A)={\begin{bmatrix}{\widetilde {a}}_{11}&{\widetilde {a}}_{21}&\cdots &{\widetilde {a}}_{n1}\\{\widetilde {a}}_{12}&{\widetilde {a}}_{22}&\cdots &{\widetilde {a}}_{n2}\\\vdots &\vdots &\ddots &\vdots \\{\widetilde {a}}_{1n}&{\widetilde {a}}_{2n}&\cdots &{\widetilde {a}}_{nn}\end{bmatrix}}}
A の余因子展開より、次の式が成り立つ: