Question

आव्यूह

 

equation

 

की अल्पिष्ठ बहुपद ज्ञात कीजिये।

04 Sep 2025
Answer :
Word Count : 400
दी गई आव्यूह है: $$ A = \begin{bmatrix} 2 & 1 & 0 & 1 \\ -1 & 0 & 0 & 1 \\ -2 & -2 & -1 & 3 \\ 0 & 0 & 0 & 1 \end{bmatrix}. $$ हम इसका अल्पिष्ठ बहुपद (minimal polynomial) ज्ञात करेंगे। --- चरण 1: ज्ञात गुणांक और स्वरूप यह $4 \times 4$ की आव्यूह है। अंतिम पंक्ति $[0\ 0\ 0\ 1]$ से स्पष्ट है कि यह ब्लॉक ऊपरी त्रिकोणीय (upper triangular) मैट्रिक्स __________ _________ _________ ___ ________ __________ ____.
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