Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
integer matrices
|
| gptkbp:category |
matrix normal forms
|
| gptkbp:field |
abstract algebra
linear algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Smith normal form
|
| gptkbp:introducedIn |
1861
|
| gptkbp:namedAfter |
gptkb:Henry_John_Stephen_Smith
|
| gptkbp:property |
diagonal entries divide each other
exists for any integer matrix unique up to multiplication by units |
| gptkbp:relatedTo |
gptkb:Jordan_normal_form
rational canonical form diagonal matrix |
| gptkbp:usedFor |
solving systems of linear Diophantine equations
classifying finitely generated modules over principal ideal domains computing invariant factors of a matrix |
| gptkbp:bfsParent |
gptkb:Henry_John_Stephen_Smith
|
| gptkbp:bfsLayer |
6
|