# Linear hull

From Encyclopedia of Mathematics

*of a set in a vector space *

The intersection of all subspaces containing . The set is also called the subspace generated by .

#### Comments

This is also called the linear envelope. The closure of the linear hull of a set is called the linear closure of this set.

**How to Cite This Entry:**

Linear hull.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Linear_hull&oldid=12870

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article