Chapter 11, Problem 15P

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	Set Two	Set Three
$\begin{array}{ccc}8x+3y+z=12& x+y+5z=7& -x+3y+5z=7\\ -6x+7z=1& x+4y-z=4& -2x+4y-5z=-3\\ 2x+4y-z=5& 3x+y-z=4& 2y-z=1\end{array}$