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4. (15 marks] Consider the system of linear equations X1 + 212 + 13 = 0 X1 - 12 + KI3 = 0 C1 +

4. (15 marks] Consider the system of linear equations X1 + 212 + 13 = 0 X1 - 12 + KI3 = 0 C1 + 12 - X3 = 0 where k is some constant. (9) (a) For what values(s) of k is there a solution other than the obvious I1 = 12 = 13 = 0? (6) (b) For the value(s) of k you found in (a), what is the most general solution to the system

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