Question: Problem 2 Consider vectors v = (1, 1), v2 = (1, k) and v3 = (0, k) ] in R2, where k + 0 is

Problem 2 Consider vectors v = (1, 1), v2 = (1, k) and v3 = (0, k) ] in R2, where k + 0 is a real parameter. (a) Depending on the value of k, find the rank of A = [v , v,, v;] and the basis for its null space. (b) Consider another parameter a # 0, does A X = (0, a, 2) have solution(s)? If yes, find the solution(s). If not, explain why

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