Question
निम्नलिखित रैखिक समीकरणों के निकाय के सभी आधारी सुसंगत हल ज्ञात कीजिए :
जाँच कीजिए कि क्या इन हलों में से कोई अपभ्रष्ट हल है? अपने उत्तर की पुष्टि कीजिए।
Answer :
Word Count : 528
हमें निम्नलिखित रैखिक समीकरणों के निकाय के सभी आधारी सुसंगत हल (Basic Feasible Solutions) ज्ञात करने हैं: \[ \begin{aligned} 2x_1 + x_2 - x_3 + 2x_4 &= 2 \\ 3x_1 + 2x_2 + x_3 + 4x_4 &= 3 \\ x_1, x_2, x_3, x_4 &\geq 0 \end{aligned} \] ### चरण 1: मूलभूत चर (Basic Variables) का चयन इस निकाय में \( n = 4 \) चरों के साथ \( m = 2 \) समीकरण दिए गए हैं। अतः, हमें प्रत्येक मूलभूत हल के लिए 2 स्वतंत्र चर (non-basic variables) __________ ___ ____ ______ _______ _________ ______ ____ ______ ____ ____ ___.
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हमें निम्नलिखित रैखिक समीकरणों के निकाय के सभी आधारी सुसंगत हल (Basic Feasible Solutions) ज्ञात करने हैं: \[ \begin{aligned} 2x_1 + x_2 - x_3 + 2x_4 &= 2 \\ 3x_1 + 2x_2 + x_3 + 4x_4 &= 3 \\ x_1, x_2, x_3, x_4 &\geq 0 \end{aligned} \] ### चरण 1: मूलभूत चर (Basic Variables) का चयन इस निकाय में \( n = 4 \) चरों के साथ \( m = 2 \) समीकरण दिए गए हैं। अतः, हमें प्रत्येक मूलभूत हल के लिए 2 स्वतंत्र चर (non-basic variables) __________ ___ ____ ______ _______ _________ ______ ____ ______ ____ ____ ___.
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