The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a2

Question

The system of linear equations
x + y + z = 2
2x + 3y + 2z = 5
2x + 3y + (a² – 1) z = a + 1 then

has infinitely many solutions for a = 4

has a unique solution for |a| = $\sqrt3$

is inconsistent when |a| = $\sqrt3$

is inconsistent when a = 4

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