can you add matlab code in your answer

2. (Solving linear system, 12pt)(using only matlab) Consider the linear system Ax=b with and b=[0;2;10;13;8;8]. [2pt] Verify that this linear system has a unique solution. Hint: use rref, rank, det, or any other Matlab method you know (and understand). Briefly explain your answer. You'll now solve Ax=b in three different ways. Store the three different solutions in different variables named x1,x2,x3. We will compare them in parts c and d. b1) [2pt] Using rref, determine the solution x of the system Ax=b, and store it in variable x1. Hint: xl is the final column of the reduced row echelon form of M=(Ab). Remember horzcat. b2) [1pt] Using Matlab's linsolve method, find a solution to the system Ax=b. Store the solution in x2. b3) [2pt] Using Matlab's inverse method ((1) or inv), solve the system as x=A(1)b, store the result in x3. c) [2pt] Compare the three solutions x1,x2,x3 pairwise using =. Do any two of them agree according to = ? Does that contradict your answer in a) or not? Why, why not? d) [3pt] Try ranking the three solutions by quality. To do so, compute Ax-b for all x you found, and see which x produces the smallest differences