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Numerical Methods
Gauss-seidel Iteration Method
Second iteration
Third iteration
Fourth iteration
We find
Since, all the errors in magnitude are less than 0.0005, the required solution is
x1 = 1.0, x2 = 1.99999, x3 = 3.0.
Rounding to three decimal places, we get x1 = 1.0, x2 = 2.0, x3 = 3.0.