Vector Space Dimension
Vector Space DimensionThe dimension of a finite-dimensional VectorSpace?, V, is the number of vectors in the VectorSpaceBasis? for V. The zero VectorSpace? has dimension zero. R^n has an n-dimensional VectorSpace?. Reducing a Matrix to RowEchelon? form (by GaussianElimination) allows a basis for the RowSpace? to be extracted from the non-zero rows. If this Basis has n rows, the RowSpace? is n-dimensional.
See also MatrixRank
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