Question

पंक्ति बराबर चरण रूप में संगत मैट्रिक्स को बराबर करके समीकरणों के निम्नलिखित निकायों के समाधान खोजें:

2a + 3b + 4c + d = 8 
a + 2b + 2c + 2d = 3
a - b + c + 3d = 3

17 Feb 2025
Answer :
Word Count : 571
समीकरणों को हल करने के लिए हमें इसे मैट्रिक्स रूप में व्यक्त करना होगा। सबसे पहले, समीकरणों को इस रूप में लिखते हैं: \[ \begin{aligned} 2a + 3b + 4c + d &= 8 \\ a + 2b + 2c + 2d &= 3 \\ a - b + c + 3d &= 3 \end{aligned} \] हम इसे मैट्रिक्स रूप में लिख सकते हैं: \[ \begin{bmatrix} 2 & 3 & 4 & 1 \\ 1 & 2 & 2 & 2 \\ 1 & -1 & 1 & 3 \end{bmatrix} \begin{bmatrix} a \\ b \\ c \\ d \end{bmatrix} = \begin{bmatrix} 8 \\ 3 \\ 3 \end{bmatrix} \] अब हमें इस मैट्रिक्स समीकरण को ________ _______ __________ ________ ______ ______ __________ _______ ____ _____ __________ __________.
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