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==Properties of Hermitian matrices==
 
==Properties of Hermitian matrices==
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* The [[eigenvalue|eigenvalues]] are all real.
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* The [[eigenvalue]]s are all real.
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* The [[eigenvector|eigenvectors]] corresponding to different eigenvalues are orthogonal.
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* The [[eigenvector]]s corresponding to different eigenvalues are orthogonal.
    
Because of these properties, Hermitian matrices have important applications in [[quantum mechanics]].
 
Because of these properties, Hermitian matrices have important applications in [[quantum mechanics]].
 
[[Category:Linear algebra]]
 
[[Category:Linear algebra]]
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