1. Consider the linear system x + y + kz = 2 (1) 3x + 4y + 2z = k 2.x + 3y – z = 1 (a) values of k (if any) does it have no solution? For which values of k (if any) does it have more For which values of k does the system (1) have a unique solution? For which than one solution? (b) Find the solution(s), if any, for k = 4. (c) In this part, set k = 3. Let L be the line spanned by . Find all solutions of (1) with k = 3 that are also elements of L-.

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