Question: Let {v1, . . . , vn} be a basis for a vector space V and let c1, . . . , cn be nonzero

Let {v1, . . . , vn} be a basis for a vector space V and let c1, . . . , cn be nonzero scalars. Prove that {c1v1, . . . , cnvn} is also a basis for V.

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