Prove Theorem 7.14: Let V = {v1, ... , vm} be a subset of afinite dimensional vector
Chapter 7, Problem 56(choose chapter or problem)
Prove Theorem 7.14: Let V = {v1, ... , vm} be a subset of afinite dimensional vector space V, and suppose that V is not abasis of V.(a) Prove that if V spans V, then vectors can be removed from Vto form a basis for V.(b) Prove that if V is linearly independent, then vectors can beadded to V to form a basis for V.
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