1) Mathematical terminology 
In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B, then there is typically some formula of the type Specifically, adjoint or adjunction may mean: ...
The classical adjoint of a matrix A is its transpose matrix of cofactors: Adj(A)_ij = (–1)(i+j)det(A(j,i)), where A(j,i) is the transpose of A with j-th column of A and i-th row of A deleted. The Hermitian adjoint, A*, is the transpose of the conjugate. The latter is genera...
• (n.) An adjunct; a helper.
(from the article `Marseille`) ...there are two `mini city halls` in each arrondissement. The city mayor is assisted by a local government of 27 adjoints, each with responsibility ...
Ad'joint noun An adjunct; a helper. [ Obsolete]
a square matrix obtained from a given square matrix and having the property that its product with the given matrix is equal to the determinant of the given matrix times the identity matrix. · Also calledthe matrix obtained from a given matrix by interchanging rows and columns and by replacing each element by its complex conjugate.