{ccc}{3}&{-1}&{2}{-1}&{6}&{0}{4}&{5}&{-2} 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-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&2\\-1&6&0\\4&5&-2\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}3&-1&2&3&-1\\-1&6&0&-1&6\\4&5&-2&4&5\end{matrix}\right)

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

3\times 6\left(-2\right)+2\left(-1\right)\times 5=-46

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

4\times 6\times 2-2\left(-1\right)\left(-1\right)=46

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

-46-46

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

-92

-46 dan 46 ni ayirish.

det(\left(\begin{matrix}3&-1&2\\-1&6&0\\4&5&-2\end{matrix}\right))

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

3det(\left(\begin{matrix}6&0\\5&-2\end{matrix}\right))-\left(-det(\left(\begin{matrix}-1&0\\4&-2\end{matrix}\right))\right)+2det(\left(\begin{matrix}-1&6\\4&5\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\times 6\left(-2\right)-\left(-\left(-1\right)\left(-2\right)\right)+2\left(-5-4\times 6\right)

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

3\left(-12\right)-\left(-2\right)+2\left(-29\right)

Qisqartirish.

-92

Yakuniy natija olish uchun shartlarni qo'shish.