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GATE Mathematics 2014 Paper

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Question : 40

Total: 55

Using the Gauss-Seidel iteration method with the initial guess {x1(0)=3.5,‌x2(0)=2.25,x3(0)=1.625}, the second approximation {x1(2),x2(2),x3(2)} for the solution to the system of equation

−x1+2x2−x3=1

is

x1(2)=5.3125,‌x2(2)=4.4491,x3(2)=2.1563
x1(2)=5.3125,‌x2(2)=4.3125,x3(2)=2.6563
x1(2)=5.3125,‌x2(2)=4.4491,x3(2)=2.6563
x1(2)=5.4991,‌x2(2)=4.4491,x3(2)=2.1563

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