Word Count : 233

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गर्शगोरिन परिबंध लागू करते हुए — मैट्रिक्स $A=\begin{bmatrix}1&2&-1\\[4pt]1&1&1\\[4pt]1&3&-1\end{bmatrix}$ के लिए पंक्ति-आधारित गर्शगोरिन वृत्त (discs): 1. पंक्ति 1: केन्द्र $a_{11}=1$, त्रिज्या $R_1=|2|+|-1|=3$. अतः $D_1:\ |z-1|\le3$ → वास्तविक-अक्ष पर अन्तराल $[-2,\;4]$. 2. पंक्ति 2: केन्द्र $a_{22}=1$, त्रिज्या $R_2=|1|+|1|=2$. अतः $D_2:\ |z-1|\le2$ → $[-1,\;3]$. 3. पंक्ति 3: केन्द्र $a_{33}=-1$, ________ __________ _________ _______ __________.
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