9. Are the vectors v1 = (1, 1, 2, 4), v2 = (2, 3, 1, 2), and v3 = (-1, -3, 4, 8)

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9. Are the vectors v1 = (1, 1, 2, 4), v2 = (2, 3, 1, 2), and v3 = (-1, -3, 4, 8) linearly independent? (Your answer to this question needs to start with the definition of linear independence, not with a matrix.) 10. Let the set S = {v1, v2, ?, vn} be a linearly independent subset of a vector space V. You are standing at the origin of V and set off in the direction of v1. After a certain length of time, you stop and head in the direction of v2 - then in direction v3 and so on. Is it possible for you to return to the origin? 11. Express, if possible, -9 - 7x - 15x^2 as a linear combination of p1 = 2 + x + 4x^2, p2 = 1 - x + 3x^2. /span>

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