Find the first two iteration of Jacobi method for the following linear system with x=(0,0,0) 10x, - X2= 8 -X,+ 10x2 - 2x3= 5 -2x2 + 10 x3=6 Select one: a. x= (0.85, 0.7, 0.7) b. x=(0.5, 0.7, 0.7) C. x-(0, 0.7, 0.8) d. x= (0.8, 0.5, 0.6)

Find the first two iteration of Jacobi method for the following linear system with x=(0,0,0) 10x, - X2= 8 -X,+ 10x2 - 2x3= 5 -2x2 + 10 x3=6 Select one: a. x= (0.85, 0.7, 0.7) b. x=(0.5, 0.7, 0.7) C. x-(0, 0.7, 0.8) d. x= (0.8, 0.5, 0.6)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Find the first two iteration of Jacobi method for the following linear system with x=(0,0,0)
10x, - X2= 8
-X,+ 10x2 - 2x3= 5
-2x2 + 10 x3=6
Select one:
a. x= (0.85, 0.7, 0.7)
b. x=(0.5, 0.7, 0.7)
C. x-(0, 0.7, 0.8)
d. x= (0.8, 0.5, 0.6)

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a. Solve the linear system by the Gaussian Elimination Method. X₁ - X₂ + x₁ = 4 2x2 + x3 + 3x4 = 4 x₁ + x₂ + x3 - 2x4 = -4 2x₁ + x₂ −X3 + 2x4 = 5