Problem 2 - (12 points) Let r E R be a real constant, and consider the linear system 2y Z = 2x 2y 2z x + 2y + r-z = r (a) Show that for r = 1 the system has infinitely many solutions, and express the solutions in parametric form. (b) Show that for r = -1, the system has no solutions. (c) Show that if r * 1 and r * -1, then the system has exactly one solution. Determine the solution. (The solution depends on r, don't be alarmed!)