ad·​ju·​gate ˈa-jə-gət How to pronounce adjugate (audio)
plural adjugates
: 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


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

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Dictionary Entries Near adjugate

Cite this Entry

“Adjugate.” Dictionary, Merriam-Webster, Accessed 27 Feb. 2024.

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