Question: ) Let k > 1 be an integer. Let v1, v2,..., vk be linearly independent vectors in Rn and let w Rn. If {v1 +

) Let k > 1 be an integer. Let v1, v2,..., vk be linearly independent vectors in Rn and let w Rn. If {v1 + w, v2 + w,..., vk + w} is linearly dependent, prove that w Span{v1, v2,..., vk}

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