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- Matrix_congruence abstract "In mathematics, two matrices A and B over a field are called congruent if there exists an invertible matrix P over the same field such that PTAP = Bwhere \"T\" denotes the matrix transpose. Matrix congruence is an equivalence relation.Matrix congruence arises when considering the effect of change of basis on the Gram matrix attached to a bilinear form or quadratic form on a finite-dimensional vector space: two matrices are congruent if and only if they represent the same bilinear form with respect to different bases.Note that Halmos defines congruence in terms of conjugate transpose (with respect to a complex inner product space) rather than transpose, but this definition has not been adopted by most other authors.".
- Matrix_congruence wikiPageID "2383040".
- Matrix_congruence wikiPageLength "3002".
- Matrix_congruence wikiPageOutDegree "29".
- Matrix_congruence wikiPageRevisionID "616802034".
- Matrix_congruence wikiPageWikiLink Addison-Wesley.
- Matrix_congruence wikiPageWikiLink Basis_(linear_algebra).
- Matrix_congruence wikiPageWikiLink Bilinear_form.
- Matrix_congruence wikiPageWikiLink Category:Linear_algebra.
- Matrix_congruence wikiPageWikiLink Category:Matrices.
- Matrix_congruence wikiPageWikiLink Change_of_basis.
- Matrix_congruence wikiPageWikiLink Congruence_relation.
- Matrix_congruence wikiPageWikiLink Conjugate_transpose.
- Matrix_congruence wikiPageWikiLink Dimension_(vector_space).
- Matrix_congruence wikiPageWikiLink Dover_Publications.
- Matrix_congruence wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Matrix_congruence wikiPageWikiLink Equivalence_relation.
- Matrix_congruence wikiPageWikiLink Field_(mathematics).
- Matrix_congruence wikiPageWikiLink Gramian_matrix.
- Matrix_congruence wikiPageWikiLink Inner_product_space.
- Matrix_congruence wikiPageWikiLink Invertible_matrix.
- Matrix_congruence wikiPageWikiLink John_Wiley_&_Sons.
- Matrix_congruence wikiPageWikiLink Mathematics.
- Matrix_congruence wikiPageWikiLink Matrix_(mathematics).
- Matrix_congruence wikiPageWikiLink Matrix_equivalence.
- Matrix_congruence wikiPageWikiLink Matrix_similarity.
- Matrix_congruence wikiPageWikiLink Oxford_University_Press.
- Matrix_congruence wikiPageWikiLink Paul_Halmos.
- Matrix_congruence wikiPageWikiLink Quadratic_form.
- Matrix_congruence wikiPageWikiLink Real_number.
- Matrix_congruence wikiPageWikiLink Sylvesters_law_of_inertia.
- Matrix_congruence wikiPageWikiLink Symmetric_matrix.
- Matrix_congruence wikiPageWikiLink Transpose.
- Matrix_congruence wikiPageWikiLink Vector_space.
- Matrix_congruence wikiPageWikiLinkText "Congruent matrix".
- Matrix_congruence wikiPageWikiLinkText "Matrix Congruence".
- Matrix_congruence wikiPageWikiLinkText "Matrix congruence".
- Matrix_congruence wikiPageWikiLinkText "congruent".
- Matrix_congruence wikiPageWikiLinkText "matrix congruence".
- Matrix_congruence wikiPageWikiLinkText "unitarily congruent".
- Matrix_congruence wikiPageUsesTemplate Template:Cite_book.
- Matrix_congruence wikiPageUsesTemplate Template:Linear-algebra-stub.
- Matrix_congruence subject Category:Linear_algebra.
- Matrix_congruence subject Category:Matrices.
- Matrix_congruence hypernym Congruent.
- Matrix_congruence type Person.
- Matrix_congruence type Matrix.
- Matrix_congruence comment "In mathematics, two matrices A and B over a field are called congruent if there exists an invertible matrix P over the same field such that PTAP = Bwhere \"T\" denotes the matrix transpose.".
- Matrix_congruence label "Matrix congruence".
- Matrix_congruence sameAs Q377286.
- Matrix_congruence sameAs Kongruenz_(Matrix).
- Matrix_congruence sameAs Matrices_congruentes.
- Matrix_congruence sameAs חפיפת_מטריצות.
- Matrix_congruence sameAs Congruenza_fra_matrici.
- Matrix_congruence sameAs 合同_(行列).
- Matrix_congruence sameAs Gelijkvormige_matrices.
- Matrix_congruence sameAs Matriz_congruente.
- Matrix_congruence sameAs m.0781y3.
- Matrix_congruence sameAs Kongruentnost_matrik.
- Matrix_congruence sameAs Конгруентні_матриці.
- Matrix_congruence sameAs Q377286.
- Matrix_congruence sameAs 合同矩阵.
- Matrix_congruence wasDerivedFrom Matrix_congruence?oldid=616802034.
- Matrix_congruence isPrimaryTopicOf Matrix_congruence.