{ccc}{13}&{6}&{5}{3}&{6}&{-4}{13}&{8}&{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-determinant-of-8-9-3-3-5-7-1-2-4

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-value-of-the-determinant-4-1-0-5-15-1-2-10-7

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}13&6&5\\3&6&-4\\13&8&3\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}13&6&5&13&6\\3&6&-4&3&6\\13&8&3&13&8\end{matrix}\right)

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

13\times 6\times 3+6\left(-4\right)\times 13+5\times 3\times 8=42

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

13\times 6\times 5+8\left(-4\right)\times 13+3\times 3\times 6=28

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

42-28

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

42 dan 28 ni ayirish.

det(\left(\begin{matrix}13&6&5\\3&6&-4\\13&8&3\end{matrix}\right))

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

13det(\left(\begin{matrix}6&-4\\8&3\end{matrix}\right))-6det(\left(\begin{matrix}3&-4\\13&3\end{matrix}\right))+5det(\left(\begin{matrix}3&6\\13&8\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.

13\left(6\times 3-8\left(-4\right)\right)-6\left(3\times 3-13\left(-4\right)\right)+5\left(3\times 8-13\times 6\right)

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

13\times 50-6\times 61+5\left(-54\right)

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.