Use The Gauss Seidel method to Solve The System Until the Percent Relative Error Falls Below εs = 5%

 1. (a) use the Gauss-Seidel method to solve the following system until the percent relative error falls below εs = 5%. (b) write an M-file to implement the Gauss-Seidel method using the above system as a test case. 2. Use the Gauss-Seidel method (a) without relaxation and (b) with relaxation (λ = 0.95) to solve the following system to a tolerance of εs = 5%. If necessary, rearrange the equations to achieve convergence. 3. Determine the solution of the simultaneous nonlinear equations below using the NewtonRaphson method with the initial guess: x = y = 1.2. 4. Determine the roots of the simultaneous nonlinear equations below. Use a graphical approach to obtain your initial guesses. Determine refined estimates with the Newton-Raphson method. …
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