{lll}{9}&{8}&{7}{6}&{5}&{4}{3}&{2}&{1} eching

$$\left( \begin{array} { l l l } { 9 } & { 8 } & { 7 } \\ { 6 } & { 5 } & { 4 } \\ { 3 } & { 2 } & { 1 } \end{array} \right)$$

Determinantni hisoblash

$$0$$

Sarrus qoidasidan foydalanish qadamlari

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

$$det(\left(\begin{matrix}9&8&7\\6&5&4\\3&2&1\end{matrix}\right))$$

Birinchi ikki ustunni to'rtinchi va beshinchi ustun sifatida qaytarish uchun asl matritsani kengaytirish.

$$\left(\begin{matrix}9&8&7&9&8\\6&5&4&6&5\\3&2&1&3&2\end{matrix}\right)$$

Pastki chap kiritmadan boshlab diagonal kamayish tarafga ko'paytirish ha koʻpaytmalarni qo'shish.

$$9\times 5+8\times 4\times 3+7\times 6\times 2=225$$

Pastki chap kiritmadan boshlab diagonal ko'payish tarafga koʻpaytirish va koʻpaytmalarni qoʻshish.

$$3\times 5\times 7+2\times 4\times 9+6\times 8=225$$

Kamayib boruvchi diagonal koʻpaytmalarning yig'indisidan ko'payib boruvchi diagonal koʻpaytmalar yig'indisini ayirish.

$$225-225$$

225 dan 225 ni ayirish.

$$0$$

Ikkilamchilar bilan kengayishdan foydalanish qadamlari

Kichik a'zolarni kengaytirish usulidan foydalanib matritsaning aniqlovchisini topish (ko'paytiruvchilarni kengaytirish deb ham nomlanadi).

$$det(\left(\begin{matrix}9&8&7\\6&5&4\\3&2&1\end{matrix}\right))$$

Kichik a’zolarga kengaytirish uchun birinchi satrning har bir elementini o‘zining kichik a’zosiga ko‘paytiring, qaysiki ana shu elementga ega bo‘lgan satr va ustunni yo‘q qilish orqali yaratilgan 2\times 2 matritsasining maxraji hisoblanadi, so‘ngra elementning joylashuv belgisiga ko‘paytiring.

$$9det(\left(\begin{matrix}5&4\\2&1\end{matrix}\right))-8det(\left(\begin{matrix}6&4\\3&1\end{matrix}\right))+7det(\left(\begin{matrix}6&5\\3&2\end{matrix}\right))$$

\left(\begin{matrix}a&b\\c&d\end{matrix}\right) 2\times 2 matritsasi uchun, determinant ad-bc.

$$9\left(5-2\times 4\right)-8\left(6-3\times 4\right)+7\left(6\times 2-3\times 5\right)$$

Qisqartirish.

$$9\left(-3\right)-8\left(-6\right)+7\left(-3\right)$$

Yakuniy natija olish uchun shartlarni qo'shish.

$$0$$

Baholash

$$\left(\begin{matrix}9&8&7\\6&5&4\\3&2&1\end{matrix}\right)$$