Question

Linear Algebra: how to prove that span{v1,v2,...,vn} = span{w1,w2,...,wn} iff v(i) can be written as a linear combinations of w(i)'s and viceversa?

Answer 1

if each element v_i is a linear combination of w_i each v_i belongs to the span of w_i's and conversely hence span will be same