Question: NUMERICAL METHODS Question 2 2.1 Show that the following system can be re-arranged to give a strictly diagonally dominant coefficient matrix, and then use five

NUMERICAL METHODS

Question 2 2.1 Show that the following system can be re-arranged to give a strictly diagonally dominant coefficient matrix, and then use five iterations of the Jacobian method and Gauss-Seidel method to solve each system. Start with X" = (0, 0, 0) , and round all computations to five significant digits. 3x, + 8x2 - x3 = 30, 4x1 + 3x2 = 24. -x2 + 4x3 = -24. 2.2 Use the Gaussian elimination to solve the systems and comparing your solutions with the one obtained by the Jacobian method and the one obtained by the Gauss-Seidel method, which method converges faster? Support your

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