Spanning set (idea)

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

S = {s₁, s₂, ... , 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.