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Question 4: The simultaneous linear equations are written in a matrix format, as follows 3 1 3 4 5 2 X, 2 Solve the equations

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Question 4: The simultaneous linear equations are written in a matrix format, as follows 3 1 3 4 5 2 X, 2 Solve the equations by using the iterative Gauss-Seidel method modified as follows x,+ = W.{x/+1 Gauss - Seidel + (1 - @) .x; , where i=1, 2, 3; x, or x, is the solution for x; after /+/ or / iterations, respectively; x =0 is the initial guess for xi. {x}+ Gauss-Seidel is the updated value of x; evaluated by the Gauss-Seidel method in the (/+1)-th iteration and =1.57. Determine the solutions of X1, x2 and x3, and their percentage relative true errors after 10 iterations. The exact solutions in evaluating the true errors are those determined by Cramer's rule. (30 marks)

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