In each of the following, find all values of a for which the system has nontrivial solutions,
Question:
(a) x - 2y + z = 0
x + ay - 3z = 0
-x + 6y - 5z = 0
(b) x + 2y + z = 0
x + 3y + 6z = 0
2x + 3y + az = 0
(c) x + y - z = 0
ay - z = 0
x + y + az = 0
(d) ax + y + z = 0
x + y - z = 0
x + y + az = 0
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b Hence there is a nontrivial solution when a ...View the full answer
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