Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online lexicon:

Linear Hull

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview
Let $ V$ be a vector space.

The set of all linear combinations of vectors $ v_1, \ldots , v_m \in V$ is called the linear hull of the vectors $ v_i$; notation: $ \operatorname{span}(v_1,\ldots,v_n)$.

If $ M \subset V$, then the set of all linear combinations from $ M$ is called linear hull of $ M$.

Linear hulls are subspaces.

(Authors: App/Burkhardt/Kimmerle)

Example:

[Links]
  automatically generated 1/18/2005