row space

row space

English-Finnish mathematical dictionary. 2011.

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  • Row space — In linear algebra, the row space of a matrix is the set of all possible linear combinations of its row vectors. The row space of an m times; n matrix is a subspace of n dimensional Euclidean space. The dimension of the row space is called the… …   Wikipedia

  • row space — noun The vector space comprising all the row vectors of a matrix …   Wiktionary

  • Row equivalence — 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 times; n matrices are row equivalent if and only if they have the same row space. The concept… …   Wikipedia

  • Row and column spaces — The row space of an m by n matrix with real entries is the subspace of R n generated by the row vectors of the matrix. Its dimension is equal to the rank of the matrix and is at most min( m , n ).The column space of an m by n matrix with real… …   Wikipedia

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  • Row vector — In linear algebra, a row vector or row matrix is a 1 times; n matrix, that is, a matrix consisting of a single row: [harvtxt|Meyer|2000, p. 8] :mathbf x = egin{bmatrix} x 1 x 2 dots x m end{bmatrix}.The transpose of a row vector is a column… …   Wikipedia

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