3. Consider the linear system 3x y + z = 2x+4y-z 3 = 5 -y+2z ==...

 

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3. Consider the linear system 3x y + z = 2x+4y-z 3 = 5 -y+2z == 1 (a) Prove that the Jacobi method converges to the exact solution x = [111]. (b) Solve this linear system using MATLAB functions jacobi and gaussSeidel with a tolerance of 10-6. (Note that: You can download the MATLAB functions jacobi and gaussSeidel from Avenue. You can directly use them and you don't need to print out these two functions when you submit your assignment.) 3. Consider the linear system 3x y + z = 2x+4y-z 3 = 5 -y+2z == 1 (a) Prove that the Jacobi method converges to the exact solution x = [111]. (b) Solve this linear system using MATLAB functions jacobi and gaussSeidel with a tolerance of 10-6. (Note that: You can download the MATLAB functions jacobi and gaussSeidel from Avenue. You can directly use them and you don't need to print out these two functions when you submit your assignment.)