Problem Description: As a follow-up of Computer Lab #9, use the Gauss-Seidel method with relaxation to solve the following system to a specified tolerance ?_s% (approximate absolute percent relative error). If necessary, rearrange the equations to achieve convergence.

10x_1 + 2x_2 ? x_3 = 27

x_1 + x_2 + 5x_3 = ?21.5

?3x_1 ? 6x_2 + 2x_3 = ?61.5

The relaxation parameter (?) should be an input parameter of your function.

Given Code

function x=GaussSeidel_Relax_Example(lambda, es)

% Gauss-Seidel for a 3-by-3 linear system of equations

%

%--Input

% lambda: relaxation parameter

% es: error tolerance (approximate absolute percent relative error in solution)

%

%--Output

% x: Gauss-Seidel linear solution (3-by-1 vector)

% Note: You may need to rearrange the linear equations to achieve diagonal dominance.

% Write your code here.

Please write in Matlab