Let V be a vector space over R. Assume that 1, 02, 03 EV are vectors such that V = Span{1, 02, 03}. Prove that V = Span{v1 – 02, T2 – 03, 03}. (Fun fact: You might notice that there's nothing special about 3 vectors - in fact, if V Span{01,..., Un}, then V = Span{v1 – 02, 02 – 03,..., Tn-1 - Un, Tn}!)

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