Project ForgeEngineering Mathematics
Linear Algebra
GATE 2016
Hard
Gauss-Seidel method is used to solve x1+2x2+3x3=5, 2x1+3x2+x3=1, 3x1+2x2+x3=3 (in that order). Assuming initial guess x1=x2=x3=0, the value of x3 after the first iteration is __________.
-6(± 0.05 accepted)
Explanation
x1=(5-2(0)-3(0))/1=5. x2=(1-2(5)-1(0))/3=(1-10)/3=-3. x3=(3-3(5)-2(-3))/1=3-15+6=-6, using the just-updated x1 and x2 as Gauss-Seidel requires.
Source: GATE ME 2016 Set-1 (2016)
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