Whakaoti i te {ccc}{5}&{-1}&{3}{0}&{2}&{-1}{5}&{3}&{1}

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-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

Tohaina

Kua tāruatia ki te papatopenga

det(\left(\begin{matrix}5&-1&3\\0&2&-1\\5&3&1\end{matrix}\right))

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

\left(\begin{matrix}5&-1&3&5&-1\\0&2&-1&0&2\\5&3&1&5&3\end{matrix}\right)

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

5\times 2-\left(-5\right)=15

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

5\times 2\times 3+3\left(-1\right)\times 5=15

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

15-15

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

Tango 15 mai i 15.

det(\left(\begin{matrix}5&-1&3\\0&2&-1\\5&3&1\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).

5det(\left(\begin{matrix}2&-1\\3&1\end{matrix}\right))-\left(-det(\left(\begin{matrix}0&-1\\5&1\end{matrix}\right))\right)+3det(\left(\begin{matrix}0&2\\5&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.

5\left(2-3\left(-1\right)\right)-\left(-\left(-5\left(-1\right)\right)\right)+3\left(-5\times 2\right)

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

5\times 5-\left(-5\right)+3\left(-10\right)

Whakarūnātia.

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.