2. (35%) Find the unknowns xi, x2, and x3 for the system of linear equations using the following methods. Show sample calculations where necessary. (a) Gauss elimination. 2 1 =31[* 20 =05 2 0 (|*2|=]| 20 0 -4 31X 40 (b) LU decomposition. (c) The Gauss-Seidel iterative method. a. Check the condition of convergence and solve the system even though the condition is not met. . Set an initial guess of 0 for the unknowns. c. Keep doing iterations until you have a relative approximate error of 0.5% or less for x;, X2, and x