Question: Show that there are two values of for which the equations have non-trivial solutions. Find the solutions corresponding to these two values of .

Show that there are two values of α for which the equations

ax - 3y + (1 + a)z = 0 2x + y - az = 0 (a + 2)x - 2y + az = 0

have non-trivial solutions. Find the solutions corresponding to these two values of α.

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