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In [[linear algebra]], the '''adjugate''', '''classical adjoint''', or '''adjunct'''{{Citation needed|reason=Few references exist from before this term was included in this article in 2012.}} of a [[square matrix]] is the [[transpose]] of its [[cofactor matrix]].<ref>{{cite book |first=F. R. |last=Gantmacher |authorlink=Felix Gantmacher |title=The Theory of Matrices |volume=1 |publisher=Chelsea |___location=New York |year=1960 |isbn=0-8218-1376-5 |pages=76–89 |url=https://books.google.com/books?id=ePFtMw9v92sC&pg=PA76 }}</ref>
The adjugate<ref>{{cite book | last=Strang | first=Gilbert | authorlink=Gilbert Strang | title=Linear Algebra and its Applications | edition=3rd | year=1988 | publisher=Harcourt Brace Jovanovich | isbn=0-15-551005-3 | pages=[https://archive.org/details/linearalgebraits00stra/page/231 231–232] | chapter=Section 4.4: Applications of determinants | url-access=registration | url=https://archive.org/details/linearalgebraits00stra/page/231 }}</ref> has sometimes been called the "adjoint",<ref>{{cite book|ref=harv|first=Alston S.|last=Householder|title=The Theory of Matrices in Numerical Analysis |publisher=Dover Books on Mathematics|year=2006|authorlink=Alston Scott Householder | isbn=0-486-44972-6 |pages=166–168 }}</ref> but today the "adjoint" of a matrix normally refers to its corresponding [[Hermitian adjoint|adjoint operator]], which is its [[conjugate transpose]].
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