# Span Given a set of vectors $\vec{v}_1, \vec{v}_2, \dots, \vec{v}_n$, their **span** is defined as the set of all vectors that are [linear combinations](Linear%20Combination.md) of the original set. Put another way, the span represents the *space* of all vectors that can be reached via some combination of the original set. --- Date: 20211222 Links to: [[]] Tags: References: * []()