Question: Consider the following. = 7x2 = 8 8x1 + 7x2 = 1 Compute the first four iterates, using the zero vector as the initial

Consider the following. = 7x2 = 8 8x1 + 7x2 = 1

Consider the following. = 7x2 = 8 8x1 + 7x2 = 1 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 X2.) n O 1 2 3 X1 X2 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.) [x1, x2] =

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