{ccc}{4}&{3}&{-1}{5}&{-3}&{3}{-5}&{1}&{-2} eching

Baholash

Omil

Viktorina

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

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-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-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

https://socratic.org/questions/how-do-you-find-the-determinant-of-0-1-4-3-2-3-8-3-4

Baham ko'rish

Klipbordga nusxa olish

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

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

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

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

4\left(-3\right)\left(-2\right)+3\times 3\left(-5\right)-5=-26

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

-5\left(-3\right)\left(-1\right)+3\times 4-2\times 5\times 3=-33

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

-26-\left(-33\right)

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

-26 dan -33 ni ayirish.

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

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

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

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

4\times 3-3\times 5-\left(-10\right)

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.