Spectral Decomposition Theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:spectral_theorem
|
| gptkbp:appliesTo |
gptkb:Hermitian_matrices
self-adjoint operators normal operators unitary matrices |
| gptkbp:field |
linear algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Spectral Decomposition Theorem
|
| gptkbp:implies |
existence of orthonormal basis of eigenvectors
|
| gptkbp:relatedTo |
gptkb:spectral_theorem
eigenvalue decomposition |
| gptkbp:state |
a normal matrix can be diagonalized by a unitary matrix
|
| gptkbp:usedIn |
functional analysis
quantum mechanics matrix analysis |
| gptkbp:bfsParent |
gptkb:hyperbolic_dynamical_systems
|
| gptkbp:bfsLayer |
7
|