Word Count : 526

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We are given a linear system: $$ \begin{pmatrix}1 & 2\\ 2 & 1\end{pmatrix} \begin{pmatrix}x\\y\end{pmatrix} = \begin{pmatrix}4\\ -2\end{pmatrix} $$ That is, $$ \begin{aligned} x + 2y &= 4 \quad \text{(1)} \\ 2x + y &= -2 \quad \text{(2)} \end{aligned} $$ --- ### Step 1: Rewrite equations for iterative methods We rewrite each equation solving for the leading variable: From (1): $$ x = 4 - 2y \quad \text{(A)} $$ From (2): $$ y = -2 - 2x \quad \text{(B)} $$ --- ### Step 2: Jacobi Iteration Scheme In ____ ______ ___ ____ ___ _______ ____ ___.
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