Linear Combination - The Linear Span

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:

    “A large volume of adventures may be grasped within this little span of life, by him who interests his heart in everything.”
    —Laurence Sterne (1713–1768)