# Metadata Source URL:: https://en.wikipedia.org/wiki/Linear_span Topics:: #mathematic --- # Linear span - Wikipedia ## Highlights > [!quote]+ Updated on 241022_090342 > > In mathematics, the linear span (also called the linear hull[1] or just span) of a set S of vectors (from a vector space), denoted span(S),[2] is the smallest linear subspace that contains the set.[3] It can be characterized either as the intersection of all linear subspaces that contain S, or as the set of linear combinations of elements of S. The linear span of a set of vectors is therefore a vector space. Spans can be generalized to matroids and modules.