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Consider the linear system (where and are constants): x +3 y + z = 2 x + y + z =12 x +3 y +4

Consider the linear system (where and are constants):

x+3y+z=

2x+y+z=12

x+3y+4z=3

Using Gaussian Elimination, Find conditions on and/or 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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