linear span of a set.

Set S be a non-empty subset of a vector space V(F). The set of all linear combinations of finite sets of elements of S, is called the linear span of S & is denoted by L(S).

Mathematically,

L(S)={a1x1+a2x2+...........+anxn : xn belongs to S & ai belongs to F,   i=1,2,3....n}