Let {v1( ( ( ( ( vk be a linearly independent set of vectors in, and let

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Let {v1( ( ( ( ( vk be a linearly independent set of vectors in, and let v be a vector in. Suppose that v = c1v1 + c2v2 + ( ( ( + ck vk with c1 ‰  0. Prove that {v, v2( ( ( ( ( vk} is linearly independent.

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