Consider the following Compute the first four iterates using the zero vector as the initial...

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Consider the following Compute the first four iterates using the zero vector as the initial approximation to show that the Gauss Seidel method diverges Use the first equation solved for x and the second equation solved for X n X1 X1 7x 8 8x 7x 1 X2 0 1 2 3 Then show that the equations can be rearranged to give a strictly diagonally dominant coefficient matrix and apply the Gauss Seidel method to obtain an approximate solution that is accurate to within 0 001 Round your answers to three decimal places X X

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