Problem: Let f be the set of all points (at, y: z) such that for some real I, and let P be the plane with equation (a) Prove that the matrix maps all points on line Eto points on plane P. (b) Prove that the matrix maps all points on plane P to points on line if. T f} l y = 1 +t 2 z 2 3 L+y+z= 2 2 2 A: 2 0 1 U 1 1 .1 l l. B: 3 c} 1 5 5 1