Solved: Let S be a maximal linearly independent subset of
Chapter , Problem 10E(choose chapter or problem)
Problem 10ELet S be a maximal linearly independent subset of a vector space V. That is, S has the property that if a vector not in S is adjoined to S, then the new set will no longer be linearly independent. Prove that S must be a basis for V . [Hint: What if S were linearly independent but not a basis of V?
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer