Linear Span - Wikipedia - en.wikipedia.org ![rw-book-cover|200x400](https://readwise-assets.s3.amazonaws.com/static/images/article3.5c705a01b476.png) ## Metadata - Author: **en.wikipedia.org** - Full Title: Linear Span - Wikipedia - Category: #articles - Tags: #mathematic - URL: https://en.wikipedia.org/wiki/Linear_span ## Highlights - 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.