Whakaoti i te {ccc}{-2}&{3}&{-5}{2}&{-3}&{4}{3}&{4}&{1}

Aromātai

Tauwehe

Pātaitai

5 raruraru e ōrite ana ki:

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-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

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

Tohaina

Kua tāruatia ki te papatopenga

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

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

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

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

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

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

3\left(-3\right)\left(-5\right)+4\times 4\left(-2\right)+2\times 3=19

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

2-19

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

-17

Tango 19 mai i 2.

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

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

-2\left(-3-4\times 4\right)-3\left(2-3\times 4\right)-5\left(2\times 4-3\left(-3\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.

-2\left(-19\right)-3\left(-10\right)-5\times 17

Whakarūnātia.

-17

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.