Question: Consider vectors v1 = (1, Di, v2 = (1, k)T and v3 = (0, k)T in R2, where k at 0 is a real parameter.

Consider vectors v1 = (1, Di", v2 = (1, k)T and v3 = (0, k)T in R2, where k at 0 is a real parameter. (a) Depending on the value of k, nd the rank of A = [V1, v2, v3] and the basis for its null space. ' (b) Consider another parameter a # 0, does ATX = (0, a, 2)T have solution(s)? If yes, nd the solution(s). If not, explain why

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