1 O 1 O 2 (1) (5 points) Set A = 1 3 3 1 4 2 3 6 1 2 (a) Compute the reduced row echelon form of A . (b) If A is the augmented matrix for a system of 3 equations in the 4 variables 11}, :L', y, 2. then what are the solutions to this system of 3 equations? (2) (5 points) Consider the two planes in 3-Space P1 and P2 which are dened by the two equations 2m y + z = 1 and a: + 2y z = 3 respectively. (a) Find a point P1 and a point in P2. (Give the 3 coordinates of each point.) (b) Find a directed line segment (i.e. a \"vector\") which is perpendicu lar to P1 and a directed line segment which is perpindicular to P2. (Give a begining point and and ending point for each directed line segment.) (c) These two planes intersect to give a line in 3-Space. Find a directed line segment contained in this line. (Give a beginning point and an end point for this directed line segment.)