English-Finnish translations for hermitian matrix

• hermiittinen matriisi

Definition of hermitian matrix

• A square matrix ''A'with complex entries that is equal to its own conjugate transpose, i.e., such that $A\; =\; A^\backslash dagger.$

Examples

• Hermitian matrices have real diagonal elements as well as real eigenvalues
• ref=[http://www.proofwiki.org/wiki/Hermitian_Operators_have_Real_Eigenvalues Proof Wiki — Hermitian Operators have Real Eigenvalues]
• If a Hermitian matrix has a simple spectrum (of eigenvalues) then its eigenvectors are orthogonal
• ref=[http://www.proofwiki.org/wiki/Hermitian_Operators_have_Orthogonal_Eigenvectors Proof Wiki — Hermitian Operators have Orthogonal Eigenvectors]
• If an observable can be described by a Hermitian matrix H, then for a given state
• A\rangle, the expectation value of the observable for that state is \langle A
• A\rangle

Related words

• Hermitian
• hermitian
• skew-Hermitian