Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Sylvester's_law_of_inertia
|
| gptkbp:appliesTo |
real symmetric matrices
|
| gptkbp:field |
linear algebra
matrix theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Sylvester's theorem
|
| gptkbp:namedAfter |
gptkb:James_Joseph_Sylvester
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
inertia of a matrix
principal minors |
| gptkbp:sentence |
The number of positive eigenvalues of a real symmetric matrix equals the maximal number of linearly independent columns with all principal minors positive.
|
| gptkbp:bfsParent |
gptkb:James_Joseph_Sylvester
|
| gptkbp:bfsLayer |
5
|