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

Baham ko'rish

Klipbordga nusxa olish

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

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

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

3\left(-3\right)\left(-5\right)+4\times 4\left(-2\right)+2\times 3=19

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

2-19

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

-17

2 dan 19 ni ayirish.

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

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

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

-2\left(-3-4\times 4\right)-3\left(2-3\times 4\right)-5\left(2\times 4-3\left(-3\right)\right)

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

-2\left(-19\right)-3\left(-10\right)-5\times 17

Qisqartirish.

-17

Yakuniy natija olish uchun shartlarni qo'shish.