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- Sylvesters_law_of_inertia abstract "Sylvester's law of inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant under a change of basis. Namely, if A is the symmetric matrix that defines the quadratic form, and S is any invertible matrix such that D = SAST is diagonal, then the number of negative elements in the diagonal of D is always the same, for all such S; and the same goes for the number of positive elements.This property is named after J. J. Sylvester who published its proof in 1852.".
- Sylvesters_law_of_inertia wikiPageExternalLink SylvestersLaw.html.
- Sylvesters_law_of_inertia wikiPageExternalLink sylvesters-law-of-inertia-and-congruence.
- Sylvesters_law_of_inertia wikiPageID "1127460".
- Sylvesters_law_of_inertia wikiPageLength "6732".
- Sylvesters_law_of_inertia wikiPageOutDegree "33".
- Sylvesters_law_of_inertia wikiPageRevisionID "676568000".
- Sylvesters_law_of_inertia wikiPageWikiLink Cambridge_University_Press.
- Sylvesters_law_of_inertia wikiPageWikiLink Category:Linear_algebra.
- Sylvesters_law_of_inertia wikiPageWikiLink Category:Matrix_theory.
- Sylvesters_law_of_inertia wikiPageWikiLink Category:Quadratic_forms.
- Sylvesters_law_of_inertia wikiPageWikiLink Category:Theorems_in_algebra.
- Sylvesters_law_of_inertia wikiPageWikiLink Change_of_basis.
- Sylvesters_law_of_inertia wikiPageWikiLink Cholesky_decomposition.
- Sylvesters_law_of_inertia wikiPageWikiLink Coefficient_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink Definite_bilinear_form.
- Sylvesters_law_of_inertia wikiPageWikiLink Definite_quadratic_form.
- Sylvesters_law_of_inertia wikiPageWikiLink Diagonal_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink Dimension_(linear_algebra).
- Sylvesters_law_of_inertia wikiPageWikiLink Dimension_(vector_space).
- Sylvesters_law_of_inertia wikiPageWikiLink Eigendecomposition.
- Sylvesters_law_of_inertia wikiPageWikiLink Eigendecomposition_of_a_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink Eigenvalue.
- Sylvesters_law_of_inertia wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Sylvesters_law_of_inertia wikiPageWikiLink Haynsworth_inertia_additivity_formula.
- Sylvesters_law_of_inertia wikiPageWikiLink Hermitian_matrices.
- Sylvesters_law_of_inertia wikiPageWikiLink Hermitian_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink Invariant_(mathematics).
- Sylvesters_law_of_inertia wikiPageWikiLink Invertible_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink J._J._Sylvester.
- Sylvesters_law_of_inertia wikiPageWikiLink James_Joseph_Sylvester.
- Sylvesters_law_of_inertia wikiPageWikiLink Kernel_(linear_algebra).
- Sylvesters_law_of_inertia wikiPageWikiLink Matrix_algebra.
- Sylvesters_law_of_inertia wikiPageWikiLink Matrix_ring.
- Sylvesters_law_of_inertia wikiPageWikiLink Metric_signature.
- Sylvesters_law_of_inertia wikiPageWikiLink Minor_(determinant).
- Sylvesters_law_of_inertia wikiPageWikiLink Minor_(linear_algebra).
- Sylvesters_law_of_inertia wikiPageWikiLink Morse_theory.
- Sylvesters_law_of_inertia wikiPageWikiLink Non-singular_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink Normal_matrices.
- Sylvesters_law_of_inertia wikiPageWikiLink Normal_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink Orthonormal.
- Sylvesters_law_of_inertia wikiPageWikiLink Orthonormality.
- Sylvesters_law_of_inertia wikiPageWikiLink PlanetMath.
- Sylvesters_law_of_inertia wikiPageWikiLink Quadratic_form.
- Sylvesters_law_of_inertia wikiPageWikiLink Real_number.
- Sylvesters_law_of_inertia wikiPageWikiLink Symmetric_matrix.
- Sylvesters_law_of_inertia wikiPageWikiLink Theorem.
- Sylvesters_law_of_inertia wikiPageWikiLinkText "Inertia of a matrix".
- Sylvesters_law_of_inertia wikiPageWikiLinkText "Sylvester's Law".
- Sylvesters_law_of_inertia wikiPageWikiLinkText "Sylvester's law of inertia".
- Sylvesters_law_of_inertia wikiPageWikiLinkText "signature".
- Sylvesters_law_of_inertia wikiPageWikiLinkText "the signature of matrix".
- Sylvesters_law_of_inertia hasPhotoCollection Sylvesters_law_of_inertia.
- Sylvesters_law_of_inertia wikiPageUsesTemplate Template:Cite_book.
- Sylvesters_law_of_inertia wikiPageUsesTemplate Template:Reflist.
- Sylvesters_law_of_inertia subject Category:Linear_algebra.
- Sylvesters_law_of_inertia subject Category:Matrix_theory.
- Sylvesters_law_of_inertia subject Category:Quadratic_forms.
- Sylvesters_law_of_inertia subject Category:Theorems_in_algebra.
- Sylvesters_law_of_inertia hypernym Theorem.
- Sylvesters_law_of_inertia comment "Sylvester's law of inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant under a change of basis. Namely, if A is the symmetric matrix that defines the quadratic form, and S is any invertible matrix such that D = SAST is diagonal, then the number of negative elements in the diagonal of D is always the same, for all such S; and the same goes for the number of positive elements.This property is named after J. J.".
- Sylvesters_law_of_inertia label "Sylvester's law of inertia".
- Sylvesters_law_of_inertia sameAs Sylvesterův_zákon_setrvačnosti.
- Sylvesters_law_of_inertia sameAs Trägheitssatz_von_Sylvester.
- Sylvesters_law_of_inertia sameAs Leĝo_de_inercio_de_Sylvester.
- Sylvesters_law_of_inertia sameAs قانون_لختی_سیلوستر.
- Sylvesters_law_of_inertia sameAs Loi_dinertie_de_Sylvester.
- Sylvesters_law_of_inertia sameAs משפט_ההתמדה_של_סילבסטר.
- Sylvesters_law_of_inertia sameAs Teorema_di_Sylvester.
- Sylvesters_law_of_inertia sameAs シルヴェスターの慣性法則.
- Sylvesters_law_of_inertia sameAs 실베스터_관성법칙.
- Sylvesters_law_of_inertia sameAs Twierdzenie_o_bezwładności_form_kwadratowych.
- Sylvesters_law_of_inertia sameAs Lei_de_inércia_de_Sylvester.
- Sylvesters_law_of_inertia sameAs m.048mq6.
- Sylvesters_law_of_inertia sameAs Sylvesters_tröghetslag.
- Sylvesters_law_of_inertia sameAs Закон_інерції_Сильвестра.
- Sylvesters_law_of_inertia sameAs Q1752621.
- Sylvesters_law_of_inertia sameAs Q1752621.
- Sylvesters_law_of_inertia sameAs 西尔维斯特惯性定理.
- Sylvesters_law_of_inertia wasDerivedFrom Sylvesters_law_of_inertiaoldid=676568000.
- Sylvesters_law_of_inertia isPrimaryTopicOf Sylvesters_law_of_inertia.