{ccc}{-1}&{0}&{6}{4}&{-3}&{-1}{4}&{6}&{3} eching

Baholash

Omil

Viktorina

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

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-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-0-1-4-3-2-3-8-3-4

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

-\left(-3\right)\times 3+6\times 4\times 6=153

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

4\left(-3\right)\times 6+6\left(-1\right)\left(-1\right)=-66

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

153-\left(-66\right)

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

219

153 dan -66 ni ayirish.

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

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

-det(\left(\begin{matrix}-3&-1\\6&3\end{matrix}\right))+6det(\left(\begin{matrix}4&-3\\4&6\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.

-\left(-3\times 3-6\left(-1\right)\right)+6\left(4\times 6-4\left(-3\right)\right)

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

-\left(-3\right)+6\times 36

Qisqartirish.

219

Yakuniy natija olish uchun shartlarni qo'shish.