Question: For which values of b and c does the system x1 + x2 + bx3 = 1, bx1 + 3x2 - x3 = -2, 3x1

For which values of b and c does the system
x1 + x2 + bx3 = 1, bx1 + 3x2 - x3 = -2,
3x1 + 4x2 + x3 = c, have
(a) No solution?
(b) Exactly one solution?
(c) Infinitely many solutions?

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