2x2 Hil matrisining determinantini topish uchun quyidagi formuladan foydalanishingiz mumkin: determinant = (a * d) - (b * c) a, b, c va d matrisning to'rtta elementi bo'lgan holda. Determinant mod 26 ning multiplikativ teskariini topish uchun kengaytirilgan Euklid algoritmidan foydalanishingiz mumkin. Agar determinant 26 ga nisbatan bo'lmasa, unda u multiplikativ teskari mod 26 ga ega emas va matris invertibl bo'lmaydi. Determinantning multiplikativ teskari mod 26 bor deb taxmin qilsak, uni kengaytirilgan Euklid algoritmidan foydalanib topish mumkin. Ko'paytuvchi teskari bo'lganidan so'ng, siz uni determinant bilan 1 26 ni olish uchun ko'paytishingiz mumkin. Shuni yodda tutingki, agar determinant 13 ning kattasidir yoki hatto bo'lsa, u
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