Whakaoti i te {ccc}{m}&{n}&{p}{3}&{0}&{6}{1}&{3}&{2}

Aromātai

Whātahi e ai ki p

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-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-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-value-of-the-determinant-6-3-1-0-3-3-9-0-0

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}m&n&p\\3&0&6\\1&3&2\end{matrix}\right))

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

\left(\begin{matrix}m&n&p&m&n\\3&0&6&3&0\\1&3&2&1&3\end{matrix}\right)

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

n\times 6+p\times 3\times 3=6n+9p

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

3\times 6m+2\times 3n=18m+6n

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

6n+9p-\left(18m+6n\right)

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

9p-18m

Tango 18m+6n mai i 6n+9p.

det(\left(\begin{matrix}m&n&p\\3&0&6\\1&3&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).

mdet(\left(\begin{matrix}0&6\\3&2\end{matrix}\right))-ndet(\left(\begin{matrix}3&6\\1&2\end{matrix}\right))+pdet(\left(\begin{matrix}3&0\\1&3\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.

m\left(-3\times 6\right)-n\left(3\times 2-6\right)+p\times 3\times 3

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

m\left(-18\right)+p\times 9

Whakarūnātia.

9p-18m

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.