Question: 1. (20 points) Let a and c be real numbers and consider the linear system: T1 + 312 + 13 + 14 = a 2x1

1. (20 points) Let a and c be real numbers and consider the linear system: T1 + 312 + 13 + 14 = a 2x1 + 712 + 13 + 214 = a 3x1 + 1012 + 213 + CT4 = 2. (a) Find all values of a and c so that the system has no solutions. (b) Find all values of a and c so that the system has a unique solution. (c) Find all values of a and c so that the system has infinitely many solutions

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