Question: Of the following three sets of linear equations, identify the set(s) that you could not solve using an iterative method such as Gauss-Seidel. Show using

Of the following three sets of linear equations, identify the set(s) that you could not solve using an iterative method such as Gauss-Seidel. Show using any number of iterations that is necessary that your solution does not converge. Clearly state your convergence criteria (how you know it is not converging).

Set One 8x + 3y + z = 12 -6x + 7z

Set One 8x + 3y + z = 12 -6x + 7z = 1 2x + 4y -z = 5 Set Two x + y + 5z = 7 x + 4y - z = 4 3x + y -z = 3 Set Three -x + 3y + 5z = 7 -2x + 4y - 5z = -3 2y -z = 1

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