(Steps Shown) Bases. Prove that if v_1, v_2, ..., v_n spans V, then so does the set v_1-v_2, v_2-v_3, ..., v_n-1-v_n,


Question: Bases. Prove that if \(\left\{v_{1}, v_{2}, \ldots, v_{n}\right\}\) spans \(V\), then so does the set \(\left\{v_{1}-v_{2}, v_{2}-v_{3}, \ldots, v_{n-1}-v_{n}, v_{n}\right\}\).

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