Whakaoti i te {ccc}{43}&{1}&{6}{35}&{7}&{4}{17}&{3}&{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-2-1-3-3-0-2-1-3-0

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

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

https://socratic.org/questions/how-do-you-find-the-value-of-the-determinant-4-1-0-5-15-1-2-10-7

Tohaina

Kua tāruatia ki te papatopenga

det(\left(\begin{matrix}43&1&6\\35&7&4\\17&3&2\end{matrix}\right))

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

\left(\begin{matrix}43&1&6&43&1\\35&7&4&35&7\\17&3&2&17&3\end{matrix}\right)

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

43\times 7\times 2+4\times 17+6\times 35\times 3=1300

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

17\times 7\times 6+3\times 4\times 43+2\times 35=1300

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

1300-1300

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

Tango 1300 mai i 1300.

det(\left(\begin{matrix}43&1&6\\35&7&4\\17&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).

43det(\left(\begin{matrix}7&4\\3&2\end{matrix}\right))-det(\left(\begin{matrix}35&4\\17&2\end{matrix}\right))+6det(\left(\begin{matrix}35&7\\17&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.

43\left(7\times 2-3\times 4\right)-\left(35\times 2-17\times 4\right)+6\left(35\times 3-17\times 7\right)

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

43\times 2-2+6\left(-14\right)

Whakarūnātia.

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.