{ccc}{i}&{j}&{k}{-18}&{0}&{10}{9}&{5}&{-5} eching

Baholash

Viktorina

Complex Number

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-determinant-of-2-1-3-3-0-2-1-3-0

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-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-do-you-find-the-determinant-of-8-9-3-3-5-7-1-2-4

Baham ko'rish

Klipbordga nusxa olish

det(\left(\begin{matrix}i&j&k\\-18&0&10\\9&5&-5\end{matrix}\right))

Diagonal usulidan foydalanib matritsaning aniqlovchisini topish.

\left(\begin{matrix}i&j&k&i&j\\-18&0&10&-18&0\\9&5&-5&9&5\end{matrix}\right)

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

j\times 10\times 9+k\left(-18\right)\times 5=90j-90k

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

5\times \left(10i\right)-5\left(-18\right)j=90j+50i

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

90j-90k-\left(90j+50i\right)

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

-50i-90k

90j-90k dan 50i+90j ni ayirish.

det(\left(\begin{matrix}i&j&k\\-18&0&10\\9&5&-5\end{matrix}\right))

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

idet(\left(\begin{matrix}0&10\\5&-5\end{matrix}\right))-jdet(\left(\begin{matrix}-18&10\\9&-5\end{matrix}\right))+kdet(\left(\begin{matrix}-18&0\\9&5\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.

i\left(-5\times 10\right)-j\left(-18\left(-5\right)-9\times 10\right)+k\left(-18\right)\times 5

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

-50i+k\left(-90\right)

Qisqartirish.

-50i-90k

Yakuniy natija olish uchun shartlarni qo'shish.