Name two sets of vectors that could be used to span a set in R^3. Show how the vectors (-1,2,0) and (3,4,0) could each be written as a linear combination of the vectors you have chosen.

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  1. which of the following sets of vectors span R^3?a.){(1, -1, 2), (0, 1, 1)} b.) {1, 2, -1), (6, ,3, 0), (4, -1, 2), (2, -5, 4)}
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  2. What does it mean to span in R2? I have this question:Which of the following sets if vectors span R2? a) {(1,1),(-2,-2)} b)
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  3. Letv1 = (1, 0, −1) v2 = (0, 2, 2) v3 = (−3, 4, 7) and let W = Span{v1, v2, v3}. 1. Show that v3 is a linear combination c1v1
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