{ccc}{4}&{-10}&{2}{-10}&{14}&{26}{2}&{26}&{-34} eching

$$\left| \begin{array} { c c c } { 4 } & { - 10 } & { 2 } \\ { - 10 } & { 14 } & { 26 } \\ { 2 } & { 26 } & { - 34 } \end{array} \right|$$

Baholash

$$-2304$$

Sarrus qoidasidan foydalanish qadamlari

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

$$det(\left(\begin{matrix}4&-10&2\\-10&14&26\\2&26&-34\end{matrix}\right))$$

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

$$\left(\begin{matrix}4&-10&2&4&-10\\-10&14&26&-10&14\\2&26&-34&2&26\end{matrix}\right)$$

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

$$4\times 14\left(-34\right)-10\times 26\times 2+2\left(-10\right)\times 26=-2944$$

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

$$2\times 14\times 2+26\times 26\times 4-34\left(-10\right)\left(-10\right)=-640$$

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

$$-2944-\left(-640\right)$$

-2944 dan -640 ni ayirish.

$$-2304$$

Ikkilamchilar bilan kengayishdan foydalanish qadamlari

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

$$det(\left(\begin{matrix}4&-10&2\\-10&14&26\\2&26&-34\end{matrix}\right))$$

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.

$$4det(\left(\begin{matrix}14&26\\26&-34\end{matrix}\right))-\left(-10det(\left(\begin{matrix}-10&26\\2&-34\end{matrix}\right))\right)+2det(\left(\begin{matrix}-10&14\\2&26\end{matrix}\right))$$

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

$$4\left(14\left(-34\right)-26\times 26\right)-\left(-10\left(-10\left(-34\right)-2\times 26\right)\right)+2\left(-10\times 26-2\times 14\right)$$

Qisqartirish.

$$4\left(-1152\right)-\left(-10\times 288\right)+2\left(-288\right)$$

Yakuniy natija olish uchun shartlarni qo'shish.

$$-2304$$

Omil

$$-2304$$