Whakaoti i te {lll}{9}&{6}&{2}{2}&{8}&{7}{3}&{6}&{2}

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-0-1-4-3-2-3-8-3-4

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

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://math.stackexchange.com/questions/2939089/taking-signs-out-of-columns-of-matrix

Tohaina

Kua tāruatia ki te papatopenga

det(\left(\begin{matrix}9&6&2\\2&8&7\\3&6&2\end{matrix}\right))

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

\left(\begin{matrix}9&6&2&9&6\\2&8&7&2&8\\3&6&2&3&6\end{matrix}\right)

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

9\times 8\times 2+6\times 7\times 3+2\times 2\times 6=294

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

3\times 8\times 2+6\times 7\times 9+2\times 2\times 6=450

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

294-450

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

-156

Tango 450 mai i 294.

det(\left(\begin{matrix}9&6&2\\2&8&7\\3&6&2\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).

9det(\left(\begin{matrix}8&7\\6&2\end{matrix}\right))-6det(\left(\begin{matrix}2&7\\3&2\end{matrix}\right))+2det(\left(\begin{matrix}2&8\\3&6\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.

9\left(8\times 2-6\times 7\right)-6\left(2\times 2-3\times 7\right)+2\left(2\times 6-3\times 8\right)

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

9\left(-26\right)-6\left(-17\right)+2\left(-12\right)

Whakarūnātia.

-156

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.