Question: l 2 l 1. Three vectors are given by their coordinates: (I =[ I], b 2|: 2 ], c = [3]. Solve the necessary problem{s)

 l 2 l 1. Three vectors are given by their coordinates:

l 2 l 1. Three vectors are given by their coordinates: (I =[ I], b 2|: 2 ], c = [3]. Solve the necessary problem{s) and select exactly one right answer from (a), (I), (c), (d): (a) the set {mine} is a basis in R2 (b) the set {11,5} is a basis in R2 (c) the set {11,6} is a basis in R2 (d) the set {(1,1)} spans vector 0. 2. The following vectors (1, b, c, and v are given by their coordinates: 1 2 1 l u = l , v = l , w = 2 , r = l . Solve the problem{s) that will allow you to answer 0 l 3 6 the following questions, and then select exactly one right answer from (a), (b, (c), (d): Is the set {11, v, w}linearly independent or linearly dependent? [s {u,v, w}a basis in R3? Does the set {u,v,w} span R3? Does the set {u,v, w} span vector 1'? (a) {51,1}, w}is linearly independent, so it is a basis in R3, so it spans R3 and it spans r as a vector from R3 . (b) {u,v,w}is linearly dependent, so it is not a basis in R3, so it does not span Rsand it does not span vector r. (c) {u,v,w}is linearly independent, so it is not a basis in R3, but it spans vector 1'. (d) None of (a), (b), (c) is true

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