Sylvester's law of inertia

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo real symmetric matrices
real quadratic forms
gptkbp:concerns quadratic forms
real symmetric matrices
gptkbp:field linear algebra
gptkbp:hasInvariant signature of quadratic form
https://www.w3.org/2000/01/rdf-schema#label Sylvester's law of inertia
gptkbp:namedAfter gptkb:James_Joseph_Sylvester
gptkbp:publishedIn 19th century
gptkbp:relatedTo eigenvalues
matrix congruence
definiteness of matrices
gptkbp:state the numbers of positive, negative, and zero eigenvalues of a real symmetric matrix are invariant under congruence transformations
gptkbp:bfsParent gptkb:James_Joseph_Sylvester
gptkbp:bfsLayer 5