{ccc}{-4}&{-4}&{-4}{0}&{3}&{-2}{-2}&{1}&{-4} eching

Baholash

Omil

Viktorina

Veb-qidiruvdagi o'xshash muammolar

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-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-determinant-of-2-1-3-3-0-2-1-3-0

https://socratic.org/questions/how-do-you-find-the-determinant-of-25-36-15-31-12-2-17-15-9

Baham ko'rish

Klipbordga nusxa olish

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

-4\times 3\left(-4\right)-4\left(-2\right)\left(-2\right)=32

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

-2\times 3\left(-4\right)-2\left(-4\right)=32

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

32-32

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

32 dan 32 ni ayirish.

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

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

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

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

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

-4\left(-10\right)-\left(-4\left(-4\right)\right)-4\times 6

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.