Question

Solve the following equation by Gauss-Seidel Method up to 2 iterations and find the value of z. Il + 32 + 543 = 10 631 + 1522 +233 72 10x1 + 6.22 - 23 = 85 Give answer in 3-decimal plates.(Like 1.222) Answer:

Answer 1

Given 24+*2 + 54 x ₂ = 10 64 of 15 x2 + 2x3 = 72 1004 t 642 - x3 = 85 These as written 10x4 + 6x2 - *3 = 85 624 + 15*2 + 2x3 = 72 } -Y (1) 10 24 t » t 5483 It is a diagonally dominant system. hane from (1), we 10 22 ) az = Hg = = 8.5 24 = (85 – 632 + x2 ) to ( 72 – 624 – 283 (10- *-*2) 54 Initially take x3 = 0 First Iteration : *4 = to (85-070) 72 – 6X8.5- I x3 = 10 - 54 Second ateration! 24 = to ( 85 6x114 +0.002 * = t ( 72 - 6x7.660 - 2 %0.002)=1.736 (1 10 - 7.660 54 = 0.01) x2 = 15 ( 15 ( 72 ( 10 6X8.5-0) = 114 1.4) 8.5 0.002 002) = 7.660 1.736) - 0.01) x3 23