Question
आव्यूह
की अल्पिष्ठ बहुपद ज्ञात कीजिये।
Answer :
Word Count : 498
आव्यूह \( A \) दिया गया है: \[ A = \begin{bmatrix} 2 & 1 & 0 & 1 \\ -1 & 0 & 0 & 1 \\ -2 & -2 & -1 & 3 \\ 0 & 0 & 0 & 1 \end{bmatrix} \] हमें इसका अल्पिष्ठ बहुपद (Minimal Polynomial) निकालना है। ### चरण 1: विशेष गुणांक बहुपद (Characteristic Polynomial) निकालना विशेष गुणांक बहुपद निकालने के लिए, हम \( |A - \lambda I| = 0 \) हल करेंगे। #### गुणांक आव्यूह निकालें: \[ A - \lambda I = \begin{bmatrix} 2-\lambda & 1 & 0 & 1 \\ -1 & _________ ________ _________ __________ ___ _____ ____ ___.
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आव्यूह \( A \) दिया गया है: \[ A = \begin{bmatrix} 2 & 1 & 0 & 1 \\ -1 & 0 & 0 & 1 \\ -2 & -2 & -1 & 3 \\ 0 & 0 & 0 & 1 \end{bmatrix} \] हमें इसका अल्पिष्ठ बहुपद (Minimal Polynomial) निकालना है। ### चरण 1: विशेष गुणांक बहुपद (Characteristic Polynomial) निकालना विशेष गुणांक बहुपद निकालने के लिए, हम \( |A - \lambda I| = 0 \) हल करेंगे। #### गुणांक आव्यूह निकालें: \[ A - \lambda I = \begin{bmatrix} 2-\lambda & 1 & 0 & 1 \\ -1 & _________ ________ _________ __________ ___ _____ ____ ___.
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