adjugate
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Adjugate — Ad ju*gate, v. t. [L. adjugatus, p. p. of adjugare; ad + jugum a yoke.] To yoke to. [Obs.] [1913 Webster] … The Collaborative International Dictionary of English
adjugate — /aj oo git, gayt /, n. Math. Now Rare. adjoint (def. 1). [AD + (CON)JUGATE] * * * † ˈadjugate, v. Obs. 0 [f. L. adjugāt ppl. stem of adjugā re to couple to; f. ad to + jugāre to yoke: cf. conjugate.] ‘To yoke or couple to.’ Bailey, vol. II, 1731; … Useful english dictionary
Adjugate matrix — In linear algebra, the adjugate or classical adjoint of a square matrix is a matrix that plays a role similar to the inverse of a matrix; it can however be defined for any square matrix without the need to perform any divisions. The adjugate has… … Wikipedia
adjugate — noun A matrix obtained from another by replacing every element by its cofactor … Wiktionary
Cayley–Hamilton theorem — In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… … Wikipedia
Cofactor (linear algebra) — In linear algebra, the cofactor (sometimes called adjunct, see below) describes a particular construction that is useful for calculating both the determinant and inverse of square matrices. Specifically the cofactor of the (i, j) entry of a… … Wikipedia
Minor (linear algebra) — This article is about a concept in linear algebra. For the unrelated concept of minor in graph theory, see Minor (graph theory). In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by… … Wikipedia
Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… … Wikipedia
Conjugate transpose — Adjoint matrix redirects here. For the classical adjoint matrix, see Adjugate matrix. In mathematics, the conjugate transpose, Hermitian transpose, Hermitian conjugate, or adjoint matrix of an m by n matrix A with complex entries is the n by m… … Wikipedia
Cramer's rule — In linear algebra, Cramer s rule is a theorem, which gives an expression for the solution of a system of linear equations with as many equations as unknowns, valid in those cases where there is a unique solution. The solution is expressed in… … Wikipedia
