For constants a and b, consider the following linear system in the unknowns x, y, and z: x – y + z = 2 3x – 2y + 4z = 7 2x + y + az = b. a) b) For what values of a and b does the system have no solutions? For what values of a and b does the system have exactly one solution? For what values of a and b does the system have an infinite number of solutions?

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