Given the linear equation system −2(x1) + 6(x2) −3(x3) = 1, (x1) −2(x2) + 7(x3) = 18, 5(x1)-3(x2) + (x3) = 2. Find an approximate solution using the Gauss-Seidel metho with initial guesses x2=x3=3.Rearrange the order of the equations if necessary. Perform 3 iterations. Comment the results: If your results are approaching to specific integers, try to guess the analytical solution and confirm by substituting them in the equations to see if the equations are satisfied. no chat GPT HAND WRITTEN only

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