Let V be an n-dimensional vector space. Let S =
{v1......vn} be a linearly-independent subset of V consisting of n vectors.
Show that it is a basis.
Im not entirely sure what linearly independent means. But i think for it to be a basis it has to be both linearly independent and be a spanning set. Since we are told that S is linearly independent all thats left to do is prove that L(S) = V but im really not sure where to begin