# Linear hull

From Encyclopedia of Mathematics

*of a set $A$ in a vector space $E$*

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

#### Comments

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

**How to Cite This Entry:**

Linear hull.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Linear_hull&oldid=32432

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