3. Recall the following system of linear equations from Written Assignment 3: *1 + ra + 204 = 4 201 + 12 + 4.x3 + $4 = 6 -21 -412 - 903 + 104 = 4 (a) Represent this system of linear equations in the form of A = b where A is a. matrix and b, $ are two vectors. (b) State rank(4) and rank ([A | b]). Based on your answer determine the consistency.? of the system. (c) State the nullity( A). Based on your answer determine the number of parameters that appear in the solution set. (d) Copy the solution set to this system from previous assignment here. Does the information you obtained from part b) and part c) match information about the solution set from last assignment. (ungraded item) (e) Prove that = is a solution to the system AE = 6. (f) Consider a similar system AT = & where C = Use the solution set for AT = b and a particular solution to AT = & to write the solution set for the system Aa = c