Mathematics · Numerical Methods
LU अपघटन (LU decomposition) का उपयोग करके निम्नलिखित युगपत समीकरणों के निकाय को हल करने पर विचार कीजिए: x1 + x2 - 2x3 = 4 x1 + 3x2 - x3 = 72x1 + x2 - 5x3 = 7 जहाँ L के मुख्य विकर्ण पर 1 के साथ डूलिटिल फैक्टराइजेशन (Doolittle factorization) के रूप में L और U को दर्शाया गया है। निम्नलिखित में से कौन सा L32, U33, और x1 के मानों का सही संयोजन है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1L32 = -12, U33 = -12, x1 = 0
- 2L32 = -12, U33 = 2, x1 = 0
- 3L32 = 2, U33 = 2, x1 = -1
- 4L32 = 2, U33 = -12, x1 = -1✓
सही उत्तर देखें
L32 = 2, U33 = -12, x1 = -1
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