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Adjoint vs Adjugate - What's the difference?

adjoint | adjugate |

In mathematics terms the difference between adjoint and adjugate

is that adjoint is a matrix in which each element is the cofactor of an associated element of another matrix while adjugate is the transpose of the respective cofactor matrix, for a given matrix. One of the factors in calculating the inverse of a matrix. Commonly notated as adj(A), where A is the given matrix.

As an adjective adjoint

is used in several situations with a meaning similar to helping.

As a verb adjugate is

to yoke an animal to something.

adjoint

English

(wikipedia adjoint)

Adjective

(-)
  • (mathematics) used in several situations with a meaning similar to helping

    • Derived terms

    () * adjoint matrix * adjoint operator * adjoint functor * coadjoint * self-adjoint

    Noun

    (en noun)
  • (mathematics) A matrix in which each element is the cofactor of an associated element of another matrix.
  • (geometry) A curve such that any point of another curve C'' of multiplicity ''r'' has multiplicity at least ''r''–1 on the adjoint. Sometimes the multiple points of ''C are required to be ordinary, and if this condition is not satisfied the term "sub-adjoint" is used.
  • An assistant mayor of a French commune.

    • Derived terms

    () * biadjoint

    References

    * MathWorld ----

    adjugate

    English

    Verb

    (adjugat)
  • (obsolete) To yoke an animal to something

    • Noun

    (Adjugate matrix) (en noun)
  • (mathematics) The transpose of the respective cofactor matrix, for a given matrix. One of the factors in calculating the inverse of a matrix. Commonly notated as adj(A'), where ' A is the given matrix.