(Solved): (a) Solve the linear algebraic equation system shown below using Gauss-Elimination with partial pi ...

(a) Solve the linear algebraic equation system shown below using Gauss-Elimination with partial pivoting (you can apply partial pivoting in the forward elimination step): $?\begin{array}{cccc}0.02& 0.01& 0& 0\\ 1& 2& 1& 0\\ 0& 1& 2& 1\\ 0& 0& 100& 200\end{array}??\begin{array}{l}{x}_1\\ x_2\\ x_3\\ x_4\end{array}?=?\begin{array}{c}0.02\\ 1\\ 4+C\\ 800+D\end{array}?$ (b) If we use Gauss-Seidel method to solve the system, can we reach converged solution. $?a_{ii}?>{?}_{\begin{array}{c}j=1\\ j?=i\end{array}}^n?a_{ij}?$ (c) Which method would you give faster solution? Gauss-Seidel Method or Gauss Jacobi Method.