{lll}{2}&{-1}&{5}{3}&{1}&{-2}{1}&{4}&{6} 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-determinant-of-4-6-7-3-2-4-1-1-1

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-value-of-the-determinant-4-1-0-5-15-1-2-10-7

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

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}2&-1&5\\3&1&-2\\1&4&6\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}2&-1&5&2&-1\\3&1&-2&3&1\\1&4&6&1&4\end{matrix}\right)

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

2\times 6-\left(-2\right)+5\times 3\times 4=74

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

5+4\left(-2\right)\times 2+6\times 3\left(-1\right)=-29

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

74-\left(-29\right)

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

103

74 dan -29 ni ayirish.

det(\left(\begin{matrix}2&-1&5\\3&1&-2\\1&4&6\end{matrix}\right))

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

2det(\left(\begin{matrix}1&-2\\4&6\end{matrix}\right))-\left(-det(\left(\begin{matrix}3&-2\\1&6\end{matrix}\right))\right)+5det(\left(\begin{matrix}3&1\\1&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(6-4\left(-2\right)\right)-\left(-\left(3\times 6-\left(-2\right)\right)\right)+5\left(3\times 4-1\right)

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

2\times 14-\left(-20\right)+5\times 11

Qisqartirish.

103

Yakuniy natija olish uchun shartlarni qo'shish.