Question
Download Solution PDFनिम्नलिखित में से कौन सा/से कथन सही है/हैं:
I. A X = 0 का हमेशा एक हल होता है।
II. यह आवश्यक नहीं है कि A X = 0 का हमेशा एक हल होगा।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
A X = 0 समीकरणों की प्रणाली को समीकरणों की सजातीय प्रणाली कहा जाता है तो
यदि |A| ≠ 0 तो इसका हल X = 0 साधारण हल कहलाता है।
यदि |A| = 0 तो A X = 0 में एक गैर-साधारण हल है जिसका अर्थ है कि प्रणाली में अनंत रूप से कई हल होंगे।
Last updated on Jun 18, 2025
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