Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Row_and_column_spaces> ?p ?o }
- Row_and_column_spaces abstract "In linear algebra, the column space C(A) of a matrix A (sometimes called the range of a matrix) is the set of all possible linear combinations of its column vectors.Let K be a field (such as real or complex numbers). The column space of an m × n matrix with components from K is a linear subspace of the m-space Km. The dimension of the column space is called the rank of the matrix. A definition for matrices over a ring K (such as integers) is also possible.The column space of a matrix is the image or range of the corresponding matrix transformation.The row space and column space of an m-by-n matrix are the linear subspaces generated by row vectors and column vectors, respectively, of the matrix. Its dimension is equal to the rank of the matrix and is at most min(m, n).This article will consider matrices of real numbers: the row and column spaces are subspaces of Rn and Rm real spaces respectively. Row and column spaces can be constructed from matrices with components in any field or ring.".
- Row_and_column_spaces thumbnail Matrix_Rows.svg?width=300.
- Row_and_column_spaces wikiPageExternalLink strang-1806-lec06-20sep1999-80k.rm.
- Row_and_column_spaces wikiPageExternalLink lecture10.htm.
- Row_and_column_spaces wikiPageExternalLink index.html.
- Row_and_column_spaces wikiPageExternalLink column-space-of-a-matrix?playlist=Linear+Algebra.
- Row_and_column_spaces wikiPageExternalLink DownloadChapters.html.
- Row_and_column_spaces wikiPageID "97848".
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- Row_and_column_spaces wikiPageWikiLink Basis_(linear_algebra).
- Row_and_column_spaces wikiPageWikiLink Cartesian_coordinate_system.
- Row_and_column_spaces wikiPageWikiLink Category:Abstract_algebra.
- Row_and_column_spaces wikiPageWikiLink Category:Linear_algebra.
- Row_and_column_spaces wikiPageWikiLink Category:Matrices.
- Row_and_column_spaces wikiPageWikiLink Coimage.
- Row_and_column_spaces wikiPageWikiLink Complex_number.
- Row_and_column_spaces wikiPageWikiLink Dimension_(vector_space).
- Row_and_column_spaces wikiPageWikiLink Dot_product.
- Row_and_column_spaces wikiPageWikiLink Elementary_matrix.
- Row_and_column_spaces wikiPageWikiLink Examples_of_vector_spaces.
- Row_and_column_spaces wikiPageWikiLink Field_(mathematics).
- Row_and_column_spaces wikiPageWikiLink Flat_(geometry).
- Row_and_column_spaces wikiPageWikiLink Free_module.
- Row_and_column_spaces wikiPageWikiLink Fundamental_theorem_of_linear_algebra.
- Row_and_column_spaces wikiPageWikiLink Gaussian_elimination.
- Row_and_column_spaces wikiPageWikiLink Gilbert_Strang.
- Row_and_column_spaces wikiPageWikiLink Image_(mathematics).
- Row_and_column_spaces wikiPageWikiLink Inner_product_space.
- Row_and_column_spaces wikiPageWikiLink Integer.
- Row_and_column_spaces wikiPageWikiLink Isomorphism.
- Row_and_column_spaces wikiPageWikiLink Kernel_(linear_algebra).
- Row_and_column_spaces wikiPageWikiLink Left_and_right_(algebra).
- Row_and_column_spaces wikiPageWikiLink Linear_algebra.
- Row_and_column_spaces wikiPageWikiLink Linear_combination.
- Row_and_column_spaces wikiPageWikiLink Linear_independence.
- Row_and_column_spaces wikiPageWikiLink Linear_map.
- Row_and_column_spaces wikiPageWikiLink Linear_span.
- Row_and_column_spaces wikiPageWikiLink Linear_subspace.
- Row_and_column_spaces wikiPageWikiLink MIT_OpenCourseWare.
- Row_and_column_spaces wikiPageWikiLink Matrix_(mathematics).
- Row_and_column_spaces wikiPageWikiLink Orthogonal_complement.
- Row_and_column_spaces wikiPageWikiLink Orthogonality.
- Row_and_column_spaces wikiPageWikiLink Pivot_element.
- Row_and_column_spaces wikiPageWikiLink Plane_(geometry).
- Row_and_column_spaces wikiPageWikiLink Quotient_space_(linear_algebra).
- Row_and_column_spaces wikiPageWikiLink Range_(mathematics).
- Row_and_column_spaces wikiPageWikiLink Rank_(linear_algebra).
- Row_and_column_spaces wikiPageWikiLink Rank–nullity_theorem.
- Row_and_column_spaces wikiPageWikiLink Real_coordinate_space.
- Row_and_column_spaces wikiPageWikiLink Real_number.
- Row_and_column_spaces wikiPageWikiLink Ring_(mathematics).
- Row_and_column_spaces wikiPageWikiLink Row_and_column_spaces.
- Row_and_column_spaces wikiPageWikiLink Row_and_column_vectors.
- Row_and_column_spaces wikiPageWikiLink Row_echelon_form.
- Row_and_column_spaces wikiPageWikiLink Scalar_(mathematics).
- Row_and_column_spaces wikiPageWikiLink Scalar_multiplication.
- Row_and_column_spaces wikiPageWikiLink Singular_value_decomposition.
- Row_and_column_spaces wikiPageWikiLink System_of_linear_equations.
- Row_and_column_spaces wikiPageWikiLink Three-dimensional_space_(mathematics).
- Row_and_column_spaces wikiPageWikiLink Transformation_matrix.
- Row_and_column_spaces wikiPageWikiLink Transpose.
- Row_and_column_spaces wikiPageWikiLink Vector_space.
- Row_and_column_spaces wikiPageWikiLink File:Matrix_Columns.svg.
- Row_and_column_spaces wikiPageWikiLink File:Matrix_Rows.svg.
- Row_and_column_spaces wikiPageWikiLinkText "Row and column spaces".
- Row_and_column_spaces wikiPageWikiLinkText "Row and column spaces#For matrices over a ring".
- Row_and_column_spaces wikiPageWikiLinkText "row and column spaces".
- Row_and_column_spaces wikiPageWikiLinkText "row space".
- Row_and_column_spaces date "November 2015".
- Row_and_column_spaces reason "This perspective is not covered on the SVD page.".
- Row_and_column_spaces title "Column Space".
- Row_and_column_spaces title "Row Space".
- Row_and_column_spaces urlname "ColumnSpace".
- Row_and_column_spaces urlname "RowSpace".
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- Row_and_column_spaces wikiPageUsesTemplate Template:Wikibooks.
- Row_and_column_spaces subject Category:Abstract_algebra.
- Row_and_column_spaces subject Category:Linear_algebra.
- Row_and_column_spaces subject Category:Matrices.
- Row_and_column_spaces hypernym Set.
- Row_and_column_spaces type Matrix.
- Row_and_column_spaces type Redirect.
- Row_and_column_spaces type Thing.
- Row_and_column_spaces comment "In linear algebra, the column space C(A) of a matrix A (sometimes called the range of a matrix) is the set of all possible linear combinations of its column vectors.Let K be a field (such as real or complex numbers). The column space of an m × n matrix with components from K is a linear subspace of the m-space Km. The dimension of the column space is called the rank of the matrix.".
- Row_and_column_spaces label "Row and column spaces".
- Row_and_column_spaces seeAlso Linear_algebra.
- Row_and_column_spaces sameAs Q2088159.
- Row_and_column_spaces sameAs Spazi_delle_righe_e_delle_colonne.
- Row_and_column_spaces sameAs 行空間.
- Row_and_column_spaces sameAs Kolom-_en_rijruimte.
- Row_and_column_spaces sameAs Espaços_linha_e_coluna.