High Quality Content by WIKIPEDIA articles! 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 x n matrix is a subspace of m-dimensional Euclidean space. The dimension of the row space is called the rank of the matrix.For a matrix that represents a homogeneous system of linear equations, the row space consists of all linear equations that follow from those in the system.

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