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Mathematics, 15.06.2020 23:57 boogerbuttday

Let V be a vector space, and let v1, v2, v3 and v4 be linearly independent vectors in V . In parts (a) and (b) below, determine whether each of the given sets of vectors is linearly independent or linearly dependent. Prove your answers using the definition. u1 = v1 − 7v3, u2 = v1, u3 = v3, u4 = v3 + v4.

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Let V be a vector space, and let v1, v2, v3 and v4 be linearly independent vectors in V . In parts (...
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