Hello, I asked this posed this problem in my last question, but had a typo that had to be corrected; here is the corrected question that I am still...

Hello, I asked this posed this problem in my last question, but had a typo that had to be corrected; here is the corrected question that I am still uncertain as to how to answer.

Prove that a set S in a vector space V is linearly dependent if and only if there exists a proper subset of S, denoted S', such that span(S')=span(S)