Given a

vector space V, a spanning set is a set of vectors

S = {s

_{1}, s

_{2}, ... , s

_{n}},
with s

_{i} ∈ V ∀ i ∈

**R**
Such that Sp<S> = V.

" sp<S> " means the

span of S.

If a spanning set for V is also linearly independant, it is
called a basis for V.