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The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a 2 – 1)z = a + 1

1. has infinitely many solutions for a = 4
2. has a unique solution for |a| = 3
3. is inconsistent when |a| = 3
4. is inconsistent when a = 4

Correct answer: is inconsistent when |a| = 3

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