Matches in DBpedia 2015-10 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).The rest of article will consider matrices of real numbers: row and column spaces are subspace of Rn and Rm real spaces respectively. But row and column spaces can be constructed from matrices with components in any field and even a ring.".
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- Row_and_column_spaces wikiPageWikiLink Basis_(linear_algebra).
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- 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".
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