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Noun Concept

Categories: All Wikipedia articles written in American English, Matrices, Articles with short description

Hermitian matrix Hermite matrix Hermitian conjugate matrix Hermitian matrices Hermitian sequence

In mathematics, a Hermitian matrix is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the i-th row and j-th column is equal to the complex conjugate of the element in the j-th row and i-th column, for all indices i and j: or in matrix form: Hermitian matrices can be understood as the complex extension of real symmetric matrices. Wikipedia

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A complex square matrix that is equal to its own conjugate transpose Wikipedia Disambiguation

Matrix equal to its conjugate-transpose Wikidata

A square matrix A with complex entries that is equal to its own conjugate transpose, i.e., such that A = A † . Wiktionary

Square matrix equal to its own conjugate transpose. Wiktionary (translation)

Hermitian matrices have real diagonal elements as well as real eigenvalues. Wiktionary

If a Hermitian matrix has a simple spectrum (of eigenvalues) then its eigenvectors are orthogonal. Wiktionary

If an observable can be described by a Hermitian matrix H , then for a given state | A ⟩ , the expectation value of the observable for that state is ⟨ A | H | A ⟩ . Wiktionary

IS A

self-adjoint matrix

HAS PART

Pauli matrices

HAS KIND

Pauli matrices

autocorrelation matrix

HAS INSTANCE