Problem 9. In the following linear system, determine all values of a ER for which the resulting linear system has (a) no solution; (b) a unique solution; (c) infinitely many solutions. x + y + Z = 2 x + 2y + z = 3 x +y + (a2 - 5)z = a

Advanced Engineering Mathematics
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Problem 9. In the following linear system, determine all values of a ER for which the resulting
linear system has
(a) no solution;
(b) a unique solution;
(c) infinitely many solutions.
x + y +
z = 2
x + 2y +
z = 3
x + y + (a2 – 5)z = a
Transcribed Image Text:Problem 9. In the following linear system, determine all values of a ER for which the resulting linear system has (a) no solution; (b) a unique solution; (c) infinitely many solutions. x + y + z = 2 x + 2y + z = 3 x + y + (a2 – 5)z = a
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