{ccc}{4}&{4}&{-2}{2}&{8}&{-4}{1}&{1}&{1}= eching

Baholash

Omil

Viktorina

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

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-determinant-of-0-1-4-3-2-3-8-3-4

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-value-of-the-determinant-6-3-1-0-3-3-9-0-0

https://socratic.org/questions/how-do-you-find-the-value-of-the-determinant-4-1-0-5-15-1-2-10-7

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

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}4&4&-2\\2&8&-4\\1&1&1\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}4&4&-2&4&4\\2&8&-4&2&8\\1&1&1&1&1\end{matrix}\right)

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

4\times 8+4\left(-4\right)-2\times 2=12

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

8\left(-2\right)-4\times 4+2\times 4=-24

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

12-\left(-24\right)

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

12 dan -24 ni ayirish.

det(\left(\begin{matrix}4&4&-2\\2&8&-4\\1&1&1\end{matrix}\right))

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

4det(\left(\begin{matrix}8&-4\\1&1\end{matrix}\right))-4det(\left(\begin{matrix}2&-4\\1&1\end{matrix}\right))-2det(\left(\begin{matrix}2&8\\1&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.

4\left(8-\left(-4\right)\right)-4\left(2-\left(-4\right)\right)-2\left(2-8\right)

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

4\times 12-4\times 6-2\left(-6\right)

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.