Starting with the initial guess  {X}T = [1 1 1 1 1] , perform five iterations of the Gauss-Seidel method on the following system of equations. On the basis of the results of these five iterations, what is the exact solution?
2x1 - 1x2 = - 1
-1x1 + 6x2 - 1x3 = 4
-2x2 + 4x3 - 1x4 = 4
- 1x3 + 4x4 - 1x5 = 6
-1x4 + 2x5 = -2