The Linear Span
Main article: linear span
Take an arbitrary field K, an arbitrary vector space V, and let v1,...,vn be vectors (in V). It’s interesting to consider the set of all linear combinations of these vectors. This set is called the linear span (or just span) of the vectors, say S ={v1,...,vn}. We write the span of S as span(S) or sp(S):
Read more about this topic: Linear Combination
Famous quotes containing the word span:
“Life’s brief span [vitae summa brevis] forbids us to enter on far-reaching hopes.”
—Horace [Quintus Horatius Flaccus] (65–8 B.C.)