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1-1 11?? (c) Consider the system of linear equations | 3 1 40-1 | x = | 2 | , where a 2 a a+1 is a scalar. (i) 1 (ii) Determine the value(s) of a such that the system is consistent with infinitely many solutions; consistent with one and only one solution; and , (iii) inconsistent. Solve the system when it is consistent. 20 marks

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ta-: a +i I 2 . 나-니a 2 2 2. ган 2 a- 2 31 3244+6 s a -s 2a+)31 2_ 2-2 a a +Hsa-s -2 1 a ) 5 2 IA1 EO 1-40 0

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