<|begin_of_text|><|start_header_id|>system<|end_header_id|>

You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Linear algebra imtihoni savolini yarating, unda talabalar LUx=b kabi parchalanish muammosini hisoblashlari kerak.<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Chiziqli tenglamalar tizimi berilgan: 3x + 2y + 4z = 18 2x + 3y + 7z = 29 4x + 7y + 4z = 47 1. Tenglamalar tizimining A koeffitsientlari matrisini LU turdagi parchalashni bajaring. 2. LU parchalanishidan foydalanib, x, y va z qiymatlarini topish uchun chiziqli tenglamalar tizimini hal qiling.<|eot_id|>