adjugate

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noun ad·ju·gate \ ˈa-jə-gət \

Definition of adjugate

plural adjugates
mathematics
:the mathematical transpose of a matrix in which each element is replaced by its cofactor
  • O. [T]aussky used an equivalent form of this fact to obtain a factorization of the adjugate of a matrix … and a result on commutativity … . Here we use it to prove the Cayley-Hamilton theorem and some new theorems.
  • —William WatkinsAmerican Mathematical MonthlyApril 1975
— compare adjoint 1

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Origin and Etymology of adjugate

derivative of adjugate, adjective, “related by a process of transposition,” borrowed from Latin adjugāre “to join, attach,” from ad-ad- + jugāre “to fasten, bind, marry,” derivative of jugum “yoke”


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