(1.2: Solving linear equations) Consider the following linear system with a and b unknown non-zero constants. x1 3x2 + x3 = 4 2x1 8x3 = 2 6x1 + 6x2 + ax3 = b (a) For what values of a and b does the system have in nitely many solutions? (b) Given an example of a and b where the system has exactly one solution. (c) Give an example of a and b for which the system has no solutions.