Whakaoti i te {ccc}{-3}&{0}&{5}{3}&{4}&{-4}{-5}&{4}&{-6}

Aromātai

Tauwehe

Pātaitai

Ngā Raru Ōrite mai i te Rapu Tukutuku

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-determinant-of-0-1-4-3-2-3-8-3-4

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-determinant-of-8-9-3-3-5-7-1-2-4

Tohaina

Kua tāruatia ki te papatopenga

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

Kimihia te tau whakatau o te poukapa mā te whakamahi i te tikanga hauroki.

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

Whakaroatia te poukapa taketake mā te tāruarua i ngā tīwae tuatahi e rua hei tīwae tuawhā me te tuarima.

-3\times 4\left(-6\right)+5\times 3\times 4=132

Tīmata atu i te tāurunga mauī o runga, whakareatia whakararo i ngā hauroki, ka tāpiri i ngā hua ka puta.

-5\times 4\times 5+4\left(-4\right)\left(-3\right)=-52

Tīmata atu i te tāurunga mauī o raro, whakareatia whakarunga i ngā hauroki, ka tāpiri i ngā hua ka puta.

132-\left(-52\right)

Tangohia te tapeke o ngā hauroki whakarunga mai i te tapeke o ngā hua hauroki whakararo.

184

Tango -52 mai i 132.

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

Kimihia te tau whakatau o te poukapa mā te whakamahi i te tikanga whakaroha ā-tauriki (te tikanga whakaroha ā-tauwehe tahi rānei).

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

Hei whakaroha mā ngā tauriki, me whakarea ia huānga o te haupae tuatahi ki tana tauriki, arā, ko te tau whakatau o te poukapa 2\times 2 i hangā mā te muku i te haupae me te tīwae i roto anō taua huānga, kātahi ka whakarea ki te tohu tūnga o taua huānga.

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

Mō te poukapa 2\times 2 \left(\begin{matrix}a&b\\c&d\end{matrix}\right), ko te ad-bc te tau whakatau.

-3\left(-8\right)+5\times 32

Whakarūnātia.

184

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.