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 1
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