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- Row_equivalence abstract "Strictly speaking, in linear algebra, two matrices are row equivalent if one can be changed to the other by a sequence of elementary row operations. Alternatively, two m × n matrices are row equivalent if and only if they have the same row space. The concept is most commonly applied to matrices that represent systems of linear equations, in which case two matrices of the same size are row equivalent if and only if the corresponding homogeneous systems have the same set of solutions, or equivalently the matrices have the same null space.Because elementary row operations are reversible, row equivalence is an equivalence relation. It is commonly denoted by a tilde (~).There is a similar notion of column equivalence, defined by elementary column operations; two matrices are column equivalent if and only if their transpose matrices are row equivalent. Two rectangular matrices that can be converted into one another allowing both elementary row and column operations are called simply equivalent.".
- Row_equivalence wikiPageExternalLink DownloadChapters.html.
- Row_equivalence wikiPageID "5896724".
- Row_equivalence wikiPageLength "5414".
- Row_equivalence wikiPageOutDegree "30".
- Row_equivalence wikiPageRevisionID "676854482".
- Row_equivalence wikiPageWikiLink Basis_(linear_algebra).
- Row_equivalence wikiPageWikiLink Category:Linear_algebra.
- Row_equivalence wikiPageWikiLink Category:Matrices.
- Row_equivalence wikiPageWikiLink Dimension.
- Row_equivalence wikiPageWikiLink Elementary_matrix.
- Row_equivalence wikiPageWikiLink Elementary_row_operations.
- Row_equivalence wikiPageWikiLink Equivalence_relation.
- Row_equivalence wikiPageWikiLink Gaussian_elimination.
- Row_equivalence wikiPageWikiLink Identity_matrix.
- Row_equivalence wikiPageWikiLink Invertible_matrix.
- Row_equivalence wikiPageWikiLink Kernel_(linear_algebra).
- Row_equivalence wikiPageWikiLink Linear_algebra.
- Row_equivalence wikiPageWikiLink Linear_combination.
- Row_equivalence wikiPageWikiLink Matrix_(mathematics).
- Row_equivalence wikiPageWikiLink Matrix_equivalence.
- Row_equivalence wikiPageWikiLink Null_space.
- Row_equivalence wikiPageWikiLink Orthogonal_complement.
- Row_equivalence wikiPageWikiLink Pivot_element.
- Row_equivalence wikiPageWikiLink Rank_(linear_algebra).
- Row_equivalence wikiPageWikiLink Reduced_row_echelon_form.
- Row_equivalence wikiPageWikiLink Row_and_column_spaces.
- Row_equivalence wikiPageWikiLink Row_echelon_form.
- Row_equivalence wikiPageWikiLink Row_reduction.
- Row_equivalence wikiPageWikiLink Row_space.
- Row_equivalence wikiPageWikiLink System_of_linear_equations.
- Row_equivalence wikiPageWikiLink Systems_of_linear_equations.
- Row_equivalence wikiPageWikiLink Tilde.
- Row_equivalence wikiPageWikiLinkText "Row equivalence".
- Row_equivalence wikiPageWikiLinkText "column-equivalent".
- Row_equivalence wikiPageWikiLinkText "equivalent".
- Row_equivalence wikiPageWikiLinkText "row-equivalent".
- Row_equivalence hasPhotoCollection Row_equivalence.
- Row_equivalence wikiPageUsesTemplate Template:Citation.
- Row_equivalence wikiPageUsesTemplate Template:Main.
- Row_equivalence wikiPageUsesTemplate Template:More_footnotes.
- Row_equivalence wikiPageUsesTemplate Template:Wikibooks.
- Row_equivalence subject Category:Linear_algebra.
- Row_equivalence subject Category:Matrices.
- Row_equivalence hypernym Equivalent.
- Row_equivalence type Article.
- Row_equivalence type Organisation.
- Row_equivalence type Article.
- Row_equivalence type Matrix.
- Row_equivalence comment "Strictly speaking, in linear algebra, two matrices are row equivalent if one can be changed to the other by a sequence of elementary row operations. Alternatively, two m × n matrices are row equivalent if and only if they have the same row space.".
- Row_equivalence label "Row equivalence".
- Row_equivalence sameAs Riviekvivalenssi.
- Row_equivalence sameAs Matrices_l-équivalentes.
- Row_equivalence sameAs Ekvivalentnost_matrica.
- Row_equivalence sameAs m.0fcf01.
- Row_equivalence sameAs Ekvivalentnost_matrica.
- Row_equivalence sameAs Еквивалентне_матрице.
- Row_equivalence sameAs Q3444264.
- Row_equivalence sameAs Q3444264.
- Row_equivalence wasDerivedFrom Row_equivalence?oldid=676854482.
- Row_equivalence isPrimaryTopicOf Row_equivalence.