Question

Apply the Gaussian elimination process to determine values of λ for which the following linear system is consistent:

x-3y+4=0, 3x - 2y = λ, y = 6-2x.

17 Feb 2025
Answer :
Word Count : 381
Gaussian elimination से हम इस सिस्टम को हल करके उन \(\lambda\) के मान निकाल सकते हैं जिनके लिए यह सिस्टम consistent हो। ### Step 1: सिस्टम को स्टैंडर्ड फॉर्म में लिखें दी गई समीकरणों को सामान्य रूप में लिखते हैं: 1. \( x - 3y + 4 = 0 \) \[ x - 3y = -4 \] 2. \( 3x - 2y = \lambda \) 3. \( y = 6 - 2x \) इसे पुनः लिखें: ____ _______ ____ _____ _________ ________ _________ ______.
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