{lll}{3}&{7}&{2}{4}&{7}&{2}{6}&{3}&{9} eching

Baholash

Omil

Viktorina

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

https://socratic.org/questions/how-do-you-find-the-determinant-of-0-1-4-3-2-3-8-3-4

https://socratic.org/questions/how-do-you-find-the-determinant-of-2-1-3-3-0-2-1-3-0

https://socratic.org/questions/how-do-you-find-the-determinant-of-8-9-3-3-5-7-1-2-4

https://socratic.org/questions/how-to-calculate-this-abs-4-4-m-6-m-3-m-3-3-4

https://socratic.org/questions/how-do-you-find-the-determinant-of-4-6-7-3-2-4-1-1-1

https://socratic.org/questions/how-do-you-find-the-value-of-the-determinant-12-26-15-32

Baham ko'rish

Klipbordga nusxa olish

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

3\times 7\times 9+7\times 2\times 6+2\times 4\times 3=297

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

6\times 7\times 2+3\times 2\times 3+9\times 4\times 7=354

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

297-354

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

-57

297 dan 354 ni ayirish.

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

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

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

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

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

3\times 57-7\times 24+2\left(-30\right)

Qisqartirish.

-57

Yakuniy natija olish uchun shartlarni qo'shish.