In Exercises, repeat the given exercise using the Gauss- Seidel method. Take the zero ve...

In Exercises, repeat the given exercise using the Gauss- Seidel method. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each variable. Compare the number of iterations required by the Jacobi and Gauss-Seidel methods to reach such an approximate solution.