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Student[LinearAlgebra][RowSpace] - return a basis for the row space of a Matrix
Student[LinearAlgebra][ColumnSpace] - return a basis for the column space of a Matrix
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Calling Sequence
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RowSpace(A, options)
ColumnSpace(A, options)
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Description
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The RowSpace(A) (ColumnSpace(A)) command returns a list of row (column) Vectors that form a basis for the Vector space spanned by the rows (columns) of Matrix A. The Vectors are returned in canonical form with leading entries 1.
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The row space (column space) of a zero Matrix is the empty list.
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Examples
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![with(Student[LinearAlgebra])](/support/helpjp/helpview.aspx?si=4384/file05027/math77.png)
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![A := Matrix([[1, 0, 0, 1], [2, 2, 1, 1], [0, 6, 3, -3]])](/support/helpjp/helpview.aspx?si=4384/file05027/math84.png)
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, Vector[row]([0, 1, 1/2, -1/2])]](/support/helpjp/helpview.aspx?si=4384/file05027/math91.png)
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, Vector[column]([[0], [1], [3]])]](/support/helpjp/helpview.aspx?si=4384/file05027/math98.png)
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