Solve the given exercise using the Gauss­Seidel 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 th e number of iterations requ ired by th e Jacobi and Gauss-Seidel methods to reach such an approximate solution 3a + b = 1 a+ 4b+ c = 1 b + 3c = 1

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