I just want part a and c solution but please correctly 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 ofAx = 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.

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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.