{ccc}{3}&{-1}&{4}{2}&{3}&{-1}{-5}&{2}&{3} eching

Baholash

Omil

Viktorina

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

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

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-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

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

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}3&-1&4\\2&3&-1\\-5&2&3\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}3&-1&4&3&-1\\2&3&-1&2&3\\-5&2&3&-5&2\end{matrix}\right)

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

3\times 3\times 3-\left(-\left(-5\right)\right)+4\times 2\times 2=38

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

-5\times 3\times 4+2\left(-1\right)\times 3+3\times 2\left(-1\right)=-72

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

38-\left(-72\right)

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

110

38 dan -72 ni ayirish.

det(\left(\begin{matrix}3&-1&4\\2&3&-1\\-5&2&3\end{matrix}\right))

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

3det(\left(\begin{matrix}3&-1\\2&3\end{matrix}\right))-\left(-det(\left(\begin{matrix}2&-1\\-5&3\end{matrix}\right))\right)+4det(\left(\begin{matrix}2&3\\-5&2\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(3\times 3-2\left(-1\right)\right)-\left(-\left(2\times 3-\left(-5\left(-1\right)\right)\right)\right)+4\left(2\times 2-\left(-5\times 3\right)\right)

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

3\times 11-\left(-1\right)+4\times 19

Qisqartirish.

110

Yakuniy natija olish uchun shartlarni qo'shish.