Assertion: matrix's vector | /r/HasProperty | expressible
Facets:
value: as a linear combination of eigenvectors
type: OTHER
Source sentences:
text: By the spectral theorem, real symmetric matrices and complex Hermitian matrices have an eigenbasis; that is, every vector is expressible as a linear combination of eigenvectors.
text: By the spectral theorem, real symmetric (or complex Hermitian) matrices have an orthogonal (or unitary) eigenbasis; i.e., every vector is expressible as a linear combination of eigenvectors.