What do you mean by ill condition? Compare Gauss elimination method and Gauss jordan method of solving simultaneous equations.

Using Gauss jordan method solve the given system of equation

6x₁ – 2x₂ + x₃ = 11

x₁ + 2x₂ – 5x₃ = -1

-2x₁ + 7x₂ + 2x₃ = 5