{ccc}{265}&{240}&{219}{240}&{225}&{198}{219}&{198}&{181} eching

Baholash

Omil

Viktorina

Veb-qidiruvdagi o'xshash muammolar

https://socratic.org/questions/the-value-of-determinant-a-b-c-2a-2a-2b-b-c-a-2b-2c-2c-c-a-b-is

https://www.quora.com/Evaluate-the-following-determinant-If-S_n-alpha-n+-beta-n+-gamma-n-then-what-is-the-value-of-left-begin-array-ccc-S_0-S_1-S_2-S_1-S_2-S_3-S_2-S_3-S_4-end-array-right

https://socratic.org/questions/how-do-you-find-the-determinant-of-1-5-3-6-2-3-4-3-0-5-2-2-1-6-8-2-6-6

https://math.stackexchange.com/questions/191148/what-is-the-largest-determinant-you-can-get-by-filling-in-0-1-or-2-into-a-4-by-4

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}265&240&219\\240&225&198\\219&198&181\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}265&240&219&265&240\\240&225&198&240&225\\219&198&181&219&198\end{matrix}\right)

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

265\times 225\times 181+240\times 198\times 219+219\times 240\times 198=31605885

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

219\times 225\times 219+198\times 198\times 265+181\times 240\times 240=31605885

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

31605885-31605885

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

31605885 dan 31605885 ni ayirish.

det(\left(\begin{matrix}265&240&219\\240&225&198\\219&198&181\end{matrix}\right))

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

265det(\left(\begin{matrix}225&198\\198&181\end{matrix}\right))-240det(\left(\begin{matrix}240&198\\219&181\end{matrix}\right))+219det(\left(\begin{matrix}240&225\\219&198\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.

265\left(225\times 181-198\times 198\right)-240\left(240\times 181-219\times 198\right)+219\left(240\times 198-219\times 225\right)

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

265\times 1521-240\times 78+219\left(-1755\right)

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.