ad·​ju·​gate | \ˈa-jə-gət \
plural adjugates

Definition of adjugate 


: 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 Watkins, American Mathematical Monthly, April 1975 — compare adjoint sense 1

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First Known Use of adjugate

1882, in the meaning defined above

History and Etymology for 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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The first known use of adjugate was in 1882

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