four vectors ~v1, ~v2, ~v3 and ~v4 be given by ~v1 = (1, 0, 2), ~v2 = (0, 1, −1), ~v3 = (1, 8, −6), ~v4 = (1, 2, 0); Let the vector space V be the linear span of ~v1, ~v2, ~v3 and ~v4. (a). Find all values of k such that the vector ~u = (2, 1, k) belongs to V . Explain. a.2)Are the vectors {~v1, ~v2} linearly independent? Explain. a.3)Find the dimension and a basis of the space V .

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