2. Consider the linear system (where a and ß are constants): x + 3y +z = a Bx+y+z=-1 2x+3y + 4z = 3 z = 3 X I Find conditions on a and/or ß such that: (a) The system has a unique solution. (b) The system has no solution. (c) The system has infinitely many solutions.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Consider the linear system (where a and ß are constants):
x + 3y +z = a
Bx+y+z=-1
2x+3y + 4z = 3
= 3 X
Find conditions on a and/or ß such that:
(a) The system has a unique solution.
(b) The system has no solution.
(c) The system has infinitely many solutions.
Transcribed Image Text:2. Consider the linear system (where a and ß are constants): x + 3y +z = a Bx+y+z=-1 2x+3y + 4z = 3 = 3 X Find conditions on a and/or ß such that: (a) The system has a unique solution. (b) The system has no solution. (c) The system has infinitely many solutions.
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