(b) Solve the following systems of linear equations using Jacobi iteration method. (5 marks) $$ \begin{array}{l}\text { (8 marks) } \ 10.27 x_{1}-1.23 x_{2}+0.67 x_{3}=4.27 \ 2.39 x_{1}-12.65 x_{2}+1.13 x_{3}=1.26 \ 1.79 x_{1}+3.61 x_{2}+15.11 x_{3}=1.27\end{array} $$

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Brooks Medina · Accepted Answer

To solve the system using the Jacobi iteration method, rearrange the equations to isolate $$x_1$$, $$x_2$$, and $$x_3$$. Start with initial guesses and iteratively update the values until convergence.

(b) Solve the following systems of linear equations using Jacobi iteration method. (5 marks) \[ \begin{array}{l}\text { (8 marks) } \\ 10.27 x_{1}-1.23 x_{2}+0.67 x_{3}=4.27 \\ 2.39 x_{1}-12.65 x_{2}+1.13 x_{3}=1.26 \\ 1.79 x_{1}+3.61 x_{2}+15.11 x_{3}=1.27\end{array} \]

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(b) Solve the following systems of linear equations using Jacobi iteration method. (5 marks) \[ \begin{array}{l}\text { (8 marks) } \\ 10.27 x_{1}-1.23 x_{2}+0.67 x_{3}=4.27 \\ 2.39 x_{1}-12.65 x_{2}+1.13 x_{3}=1.26 \\ 1.79 x_{1}+3.61 x_{2}+15.11 x_{3}=1.27\end{array} \]

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