Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
square matrices
|
| gptkbp:field |
linear algebra
|
| gptkbp:firstPublished |
1858
|
| gptkbp:generalizes |
Hamilton's theorem for quaternions
|
| gptkbp:hasProofIn |
undergraduate linear algebra textbooks
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley-Hamilton theorem
|
| gptkbp:namedAfter |
gptkb:Arthur_Cayley
gptkb:William_Rowan_Hamilton |
| gptkbp:provenBy |
gptkb:Frobenius
gptkb:Arthur_Cayley |
| gptkbp:relatedTo |
eigenvalues
minimal polynomial characteristic polynomial |
| gptkbp:state |
Every square matrix satisfies its own characteristic equation
|
| gptkbp:usedIn |
control theory
partial differential equations matrix theory computing matrix functions |
| gptkbp:bfsParent |
gptkb:Arthur_Cayley
gptkb:Linear_algebra |
| gptkbp:bfsLayer |
5
|