2. Let (V,+,) be a vector space over scalar field R. Suppose the set of vectors {v1, v2, v3, v4} is linearly independent and consider the following set, S={v1 2v2, V2, V3 V4 - V2, V4}. Determine if S is linearly independent. If not, remove as few vectors as you can so the resulting set is linearly independent and justify your choices.

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