{ccc}{3}&{3}&{-6}{-3}&{0}&{6}{2}&{-4}&{6} 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-determinant-of-0-1-4-3-2-3-8-3-4

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-value-of-the-determinant-6-3-1-0-3-3-9-0-0

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-to-calculate-this-abs-4-4-m-6-m-3-m-3-3-4

Baham ko'rish

Klipbordga nusxa olish

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

3\times 6\times 2-6\left(-3\right)\left(-4\right)=-36

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

-4\times 6\times 3+6\left(-3\right)\times 3=-126

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

-36-\left(-126\right)

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

-36 dan -126 ni ayirish.

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

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

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

3\left(-\left(-4\times 6\right)\right)-3\left(-3\times 6-2\times 6\right)-6\left(-3\right)\left(-4\right)

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

3\times 24-3\left(-30\right)-6\times 12

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.