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

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