Answer the following and show solutions.Given the following systems, 4x1 + 2x2 - x3 = 10x1 + 3x2 - 2x3 = 42x1 - 2x2 + 3x3 = 6 1. Solve the system using Jacobi Method up to 11 iterations.This is the example that might help.. 3RD ITERATION:x₂ = 3-√₂+² 2 = 3-1 + 1.187533Yo = 7-2x₂-2₂- 2x2-2₂7-210-757-1-1875441.078125Z₂24-x₂+x2= 4 -(0-75) +1 1.06254។IterationYZO11.7510.7511-18751.06251.0781251.06250.9947921 0.953125 1.003906561.016927 1-001628 0-9895830-995985 | 0.994141 0.9961751.003030.9995391-000678As required, the difference of the last iterationShoulder be less than 0.005,| X=1; y = 1 ; 2=1L234(1O5 decimalO= 1.0625 System of Linear Equations (Iterative Methods)Iterative methods are based on successiveimprovement of initial guesses for the solution.ITERATIVE METHODI: JACOBI METHODStep 1. Rewrite the systemStep 2. Initialize a value for the unknownsof zero.Step 3. Perform iteration until the values ofthe unknown don't diverge anymore.folutExample &肉丸 3x+2y2=34y+z=7X-y + 4z = 4Solution:NAAx = 3-y+z3Y= 7-2x-z4Z=4-x+x41st Iteration : x=0; y=0,2 = 0X, = 3-ото= 1Y₁ = 7-2(0) - (0)= 1.752,4-04 으= 142ND ITERATION:x₂ = 3-y₁ +2₁= 3 ~ 1.75 +1 = 0.7533Y2:7-2x, 7,7-20)-(144Z₂ = 4-X₁tY₁ = 4-1+1.7544= 1.1875

Jacobi method uses the system of equations to set up the iteration formulas. The initial…

Answered: Given the following systems, 4x1 + 2x2…

Given the following systems, 4x1 + 2x2 - x3 = 10 x1 + 3x2 - 2x3 = 4 2x1 - 2x2 + 3x3 = 6 1. Solve the system using Jacobi Method up to 11 iterations. This is the example that might help..

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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