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3 1 1 1 l Consider the system of linear equations 3 1 4a 1 x : 2 , Where a 3 a 21 3

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3 1 1 1 l Consider the system of linear equations 3 1 4a 1 x : 2 , Where a 3 a 21 3 is a scalar. Determine the value(s) of a such that the system is (i) inconsistent; (ii) consistent with innitely many solutions; (iii) consistent With one and only one solution. Solve the system When it is consistent. [20 marks]

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