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Adjugate Matrix
The adjugate matrix of a square matrix
and the adjugate matrix is
The adjugate matrix is also called the classical adjoint. It satisfies
where
The cofactor definition remains valid when
The adjugate matrix is implemented in the Wolfram Language as Adjugate[A]. See alsoAdjoint Matrix, Cofactor, Conjugate Transpose, Determinant, Identity Matrix, Matrix Inverse, TransposeExplore with Wolfram|Alpha
ReferencesMeyer, C. D. Matrix Analysis and Applied Linear Algebra. Philadelphia, PA: SIAM, 2000.Muir, T. A Treatise on the Theory of Determinants. New York: Dover, p. 54, 1960.Referenced on Wolfram|AlphaAdjugate MatrixCite this as:Weisstein, Eric W. "Adjugate Matrix." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AdjugateMatrix.html Subject classifications | ||||||||||
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is the 
is obtained by deleting row 
and column 
from 
,
is the 
has a 
is a 
![adj[a b; c d]=[d -b; -c a].](/api/image?u=https%3A%2F%2Fmathworld.wolfram.com%2Fimages%2Fequations%2FAdjugateMatrix%2FNumberedEquation5.svg){kind=small}