Tīpoka ki ngā ihirangi matua
Aromātai
Tick mark Image

Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

det(\left(\begin{matrix}i&j&k\\1&-2&2\\3&2&0\end{matrix}\right))
Kimihia te tau whakatau o te poukapa mā te whakamahi i te tikanga hauroki.
\left(\begin{matrix}i&j&k&i&j\\1&-2&2&1&-2\\3&2&0&3&2\end{matrix}\right)
Whakaroatia te poukapa taketake mā te tāruarua i ngā tīwae tuatahi e rua hei tīwae tuawhā me te tuarima.
j\times 2\times 3+k\times 2=6j+2k
Tīmata atu i te tāurunga mauī o runga, whakareatia whakararo i ngā hauroki, ka tāpiri i ngā hua ka puta.
3\left(-2\right)k+2\times \left(2i\right)=4i-6k
Tīmata atu i te tāurunga mauī o raro, whakareatia whakarunga i ngā hauroki, ka tāpiri i ngā hua ka puta.
6j+2k-\left(4i-6k\right)
Tangohia te tapeke o ngā hauroki whakarunga mai i te tapeke o ngā hua hauroki whakararo.
6j+8k-4i
Tango -6k+4i mai i 6j+2k.
det(\left(\begin{matrix}i&j&k\\1&-2&2\\3&2&0\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).
idet(\left(\begin{matrix}-2&2\\2&0\end{matrix}\right))-jdet(\left(\begin{matrix}1&2\\3&0\end{matrix}\right))+kdet(\left(\begin{matrix}1&-2\\3&2\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.
i\left(-2\times 2\right)-j\left(-3\times 2\right)+k\left(2-3\left(-2\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.
-4i-j\left(-6\right)+k\times 8
Whakarūnātia.
6j+8k-4i
Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.