1. (a) Construct a 3 x 3 matrix A such that the solution set of the equation Ax = 0 is the line in R3 through (1,0,3) and the origin. (b) Find a vector b in R3 such that the solution set of Ax = b is not a line in R3 parallel to the solution set of Ax = 0. Why does this not contradict Theorem 1.6? (c) Find a vector b in R3 such that the solution set of Ax = b is a line in R3 parallel to the solution set of Ax = 0