adjoint

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Definition of adjoint in English English dictionary: A matrix having certain values relative to another matrix; used in several situations with a meaning similar to helping; The transpose of a matrix in which each element has been replaced by its cofactor; The classical adjoint of a matrix A is its transpose matrix of cofactors: Adj(A)_ij = (-1)^(i+j) det(A'^(j,i)), where A'^(j,i) is the transpose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 generally what is meant by the adjoint in most contexts, and we simply have A*=A' when A is real-valued; An adjunct; a helper; This word is used in mathematics, it can be applied to several situations, liked adjoint matrix, adjoint linear operator, adjoint functor; {i} reorder of a matrix in which each element is replaced by its cofactor; adjunct, assistant
self-adjoint: which is adjoint to itself

adjoint

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ad·joint

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