Consider the linear system (where a and 3 are constants): x + 3y +z = a 2x+By+ z = -1 2x + 3y + 4z = 3 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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Chapter2: Second-order Linear Odes
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1. Consider the linear system (where a and ß are constants):
x + 3y +z = a
2x+By+ z = -1
2x+3y + 4z = 3
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:1. Consider the linear system (where a and ß are constants): x + 3y +z = a 2x+By+ z = -1 2x+3y + 4z = 3 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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