{ccc}{3}&{2}&{-1}{-5}&{5}&{6}{0}&{-1}&{4} 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-8-9-3-3-5-7-1-2-4

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

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}3&2&-1\\-5&5&6\\0&-1&4\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}3&2&-1&3&2\\-5&5&6&-5&5\\0&-1&4&0&-1\end{matrix}\right)

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

3\times 5\times 4-\left(-5\left(-1\right)\right)=55

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

-6\times 3+4\left(-5\right)\times 2=-58

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

55-\left(-58\right)

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

113

55 dan -58 ni ayirish.

det(\left(\begin{matrix}3&2&-1\\-5&5&6\\0&-1&4\end{matrix}\right))

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

3det(\left(\begin{matrix}5&6\\-1&4\end{matrix}\right))-2det(\left(\begin{matrix}-5&6\\0&4\end{matrix}\right))-det(\left(\begin{matrix}-5&5\\0&-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.

3\left(5\times 4-\left(-6\right)\right)-2\left(-5\right)\times 4-\left(-5\left(-1\right)\right)

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

3\times 26-2\left(-20\right)-5

Qisqartirish.

113

Yakuniy natija olish uchun shartlarni qo'shish.