{ccc}{-3}&{0}&{5}{3}&{4}&{-4}{-5}&{4}&{-6} 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-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-2-1-3-3-0-2-1-3-0

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

-3\times 4\left(-6\right)+5\times 3\times 4=132

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

-5\times 4\times 5+4\left(-4\right)\left(-3\right)=-52

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

132-\left(-52\right)

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

184

132 dan -52 ni ayirish.

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

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

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

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

-3\left(-8\right)+5\times 32

Qisqartirish.

184

Yakuniy natija olish uchun shartlarni qo'shish.