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

Time Traveler

The first known use of adjugate was in 1882

See more words from the same year