{lll}{9}&{6}&{2}{2}&{8}&{7}{3}&{6}&{2} 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-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-6-3-1-0-3-3-9-0-0

https://math.stackexchange.com/questions/2939089/taking-signs-out-of-columns-of-matrix

Baham ko'rish

Klipbordga nusxa olish

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

9\times 8\times 2+6\times 7\times 3+2\times 2\times 6=294

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

3\times 8\times 2+6\times 7\times 9+2\times 2\times 6=450

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

294-450

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

-156

294 dan 450 ni ayirish.

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

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

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

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

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

9\left(-26\right)-6\left(-17\right)+2\left(-12\right)

Qisqartirish.

-156

Yakuniy natija olish uchun shartlarni qo'shish.