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1. Consider the following system of linear equations. X1 + 3x2 + X3 = a -x1 - 212 + x3 = b 3x1 + 712

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1. Consider the following system of linear equations. X1 + 3x2 + X3 = a -x1 - 212 + x3 = b 3x1 + 712 - X3 = 0 (a) Determine a relationship between a and b that ensures the system is consistent. (b) Assuming a and b satisfy the relationship from (a), find all solutions to the system in terms of a

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