Whakaoti i te {lll}{2}&{-1}&{5}{3}&{1}&{-2}{1}&{4}&{6}

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-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

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

Tohaina

Kua tāruatia ki te papatopenga

det(\left(\begin{matrix}2&-1&5\\3&1&-2\\1&4&6\end{matrix}\right))

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

\left(\begin{matrix}2&-1&5&2&-1\\3&1&-2&3&1\\1&4&6&1&4\end{matrix}\right)

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

2\times 6-\left(-2\right)+5\times 3\times 4=74

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

5+4\left(-2\right)\times 2+6\times 3\left(-1\right)=-29

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

74-\left(-29\right)

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

103

Tango -29 mai i 74.

det(\left(\begin{matrix}2&-1&5\\3&1&-2\\1&4&6\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}1&-2\\4&6\end{matrix}\right))-\left(-det(\left(\begin{matrix}3&-2\\1&6\end{matrix}\right))\right)+5det(\left(\begin{matrix}3&1\\1&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(6-4\left(-2\right)\right)-\left(-\left(3\times 6-\left(-2\right)\right)\right)+5\left(3\times 4-1\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\times 14-\left(-20\right)+5\times 11

Whakarūnātia.

103

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.