Word Count : 336

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### दिया गया समीकरण निकाय \[ \begin{pmatrix}1 & 2 \\ 2 & 1\end{pmatrix} \begin{pmatrix}x \\ y\end{pmatrix} = \begin{pmatrix}4 \\ -2\end{pmatrix} \] इसका विस्तृत रूप है: \[ 1x + 2y = 4 \] \[ 2x + 1y = -2 \] अब, हम गाउस-जैकोबी और गाउस-सीडल पुनरावृत्ति योजनाएँ स्थापित करते हैं। --- ### 1. गाउस-जैकोबी पुनरावृत्ति योजना गाउस-जैकोबी विधि में, हम प्रत्येक चर को पिछले चरण के अन्य चर के मूल्यों के आधार पर अद्यतन करते हैं। #### पुनरावृत्ति सूत्र निकालना \[ x^{(k+1)} = \frac{4 - ______ _______ _____ __________ _______ ________ ________ _______ _____ ________.
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