adjugate

noun

ad·​ju·​gate ˈa-jə-gət 

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 Watkins, American Mathematical Monthly, April 1975

compare adjoint sense 1

Word History

Etymology

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"

First Known Use

1882, in the meaning defined above

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