{ccc}{1}&{-4}&{-1}{0}&{9}&{-1}{2}&{13}&{0} eching

Baholash

Omil

Viktorina

5xshash muammolar:

Veb-qidiruvdagi o'xshash muammolar

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-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-determinant-of-4-6-7-3-2-4-1-1-1

https://socratic.org/questions/how-to-calculate-this-abs-4-4-m-6-m-3-m-3-3-4

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}1&-4&-1\\0&9&-1\\2&13&0\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}1&-4&-1&1&-4\\0&9&-1&0&9\\2&13&0&2&13\end{matrix}\right)

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

-4\left(-1\right)\times 2=8

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

2\times 9\left(-1\right)+13\left(-1\right)=-31

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

8-\left(-31\right)

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

8 dan -31 ni ayirish.

det(\left(\begin{matrix}1&-4&-1\\0&9&-1\\2&13&0\end{matrix}\right))

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

det(\left(\begin{matrix}9&-1\\13&0\end{matrix}\right))-\left(-4det(\left(\begin{matrix}0&-1\\2&0\end{matrix}\right))\right)-det(\left(\begin{matrix}0&9\\2&13\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(-1\right)-\left(-4\left(-2\left(-1\right)\right)\right)-\left(-2\times 9\right)

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

13-\left(-4\times 2\right)-\left(-18\right)

Qisqartirish.

Yakuniy natija olish uchun shartlarni qo'shish.