1. The problem statement, all variables and given/known data Let W be a subspace of R^n and let A be a subset of R^n. Then A spans W if and only if <A> = W (<A> is the set of all vectors in R^n that are dependent on A). Prove it. 2. Relevant equations 3. The attempt at a solution Ok the book goes likes this; First, it proves that if A spans W, then <A>=W It says that every vector in W is dependent on A, so W⊆<A>. But i do not get this part. Why is this true?