{lll}{18}&{-1}&{-1}{10}&{3}&{-2}{-2}&{-2}&{3} eching

Baholash

Omil

Viktorina

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-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-25-36-15-31-12-2-17-15-9

https://socratic.org/questions/how-do-you-find-the-determinant-of-0-1-4-3-2-3-8-3-4

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

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}18&-1&-1\\10&3&-2\\-2&-2&3\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}18&-1&-1&18&-1\\10&3&-2&10&3\\-2&-2&3&-2&-2\end{matrix}\right)

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

18\times 3\times 3-\left(-2\left(-2\right)\right)-10\left(-2\right)=178

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

-2\times 3\left(-1\right)-2\left(-2\right)\times 18+3\times 10\left(-1\right)=48

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

178-48

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

130

178 dan 48 ni ayirish.

det(\left(\begin{matrix}18&-1&-1\\10&3&-2\\-2&-2&3\end{matrix}\right))

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

18det(\left(\begin{matrix}3&-2\\-2&3\end{matrix}\right))-\left(-det(\left(\begin{matrix}10&-2\\-2&3\end{matrix}\right))\right)-det(\left(\begin{matrix}10&3\\-2&-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.

18\left(3\times 3-\left(-2\left(-2\right)\right)\right)-\left(-\left(10\times 3-\left(-2\left(-2\right)\right)\right)\right)-\left(10\left(-2\right)-\left(-2\times 3\right)\right)

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

18\times 5-\left(-26\right)-\left(-14\right)

Qisqartirish.

130

Yakuniy natija olish uchun shartlarni qo'shish.