# Linear span

In linear algebra, the linear span (also called the linear hull or just span) of a set of vectors in a vector space is the intersection of all linear subspaces which each contain every vector in that set. The linear span of a set of vectors is therefore a vector space. Spans can be generalized to matroids and modules. For expressing that a vector space V is a span of a set S, one commonly uses the following phrases: S spans V; V is spanned by S; S is a spanning set of V; S is a generating set of V.

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|

linear | 7 | 8036 | 0.398 |

span | 6 | 6408 | 0.353 |

vector | 5 | 3643 | 0.319 |

set | 7 | 110045 | 0.239 |

v | 5 | 48679 | 0.206 |