{ccc}{3}&{-1}&{-1}{4}&{3}&{-2}{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-determinant-of-0-1-4-3-2-3-8-3-4

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-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

Baham ko'rish

Klipbordga nusxa olish

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}3&-1&-1&3&-1\\4&3&-2&4&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(-2\times 5\right)-4\left(-2\right)=45

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

5\times 3\left(-1\right)-2\left(-2\right)\times 3+3\times 4\left(-1\right)=-15

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

45-\left(-15\right)

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

45 dan -15 ni ayirish.

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

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

3\times 5-\left(-22\right)-\left(-23\right)

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.