**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] * * * … Universalium

**adjugate** — noun A matrix obtained from another by replacing every element by its cofactor … Wiktionary

**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

**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