Question: Apply the Gauss-Seidel method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive

Apply the Gauss-Seidel method to the given system. Take the zero vector

Apply the Gauss-Seidel method to the given system. 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. (Round your answers to three decimal places.) 4.5X1 - 0.5x2 = 1 X13.5x2 = -1 X1 X2 =

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