Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Matrix decomposition
|
| gptkbp:alsoKnownAs |
gptkb:Spectral_decomposition
|
| gptkbp:appliesTo |
Square matrices
|
| gptkbp:component |
D is the diagonal matrix of eigenvalues
V is the matrix of eigenvectors V^{-1} is the inverse of V |
| gptkbp:field |
gptkb:Mathematics
Engineering |
| gptkbp:form |
A = VDV^{-1}
|
| https://www.w3.org/2000/01/rdf-schema#label |
Eigenvalue decomposition
|
| gptkbp:involves |
Eigenvalues
Eigenvectors |
| gptkbp:notPossibleFor |
Defective matrices
|
| gptkbp:prohibits |
Matrix must be diagonalizable
|
| gptkbp:relatedTo |
gptkb:Singular_value_decomposition
Jordan decomposition Diagonalization |
| gptkbp:usedIn |
gptkb:Principal_component_analysis
gptkb:Linear_algebra gptkb:Markov_chains gptkb:Control_theory gptkb:Differential_equations gptkb:Quantum_mechanics Statistics Machine learning Vibration analysis |
| gptkbp:bfsParent |
gptkb:PCA
|
| gptkbp:bfsLayer |
5
|