Question: Let V be a vector space, and suppose v1, v2, v3 span V . If u1 = v1 + v2, u2 = v1 v2, u3

Let V be a vector space, and suppose v1, v2, v3 span V . If

u1 = v1 + v2, u2 = v1 v2, u3 = 2v1 + 3v2 v3,

show that u1, u2, u3 span V.

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