Whakaoti i te {ccc}{3}&{-1}&{2}{-1}&{6}&{0}{4}&{5}&{-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-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

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-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

Tohaina

Kua tāruatia ki te papatopenga

det(\left(\begin{matrix}3&-1&2\\-1&6&0\\4&5&-2\end{matrix}\right))

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

\left(\begin{matrix}3&-1&2&3&-1\\-1&6&0&-1&6\\4&5&-2&4&5\end{matrix}\right)

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

3\times 6\left(-2\right)+2\left(-1\right)\times 5=-46

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

4\times 6\times 2-2\left(-1\right)\left(-1\right)=46

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

-46-46

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

-92

Tango 46 mai i -46.

det(\left(\begin{matrix}3&-1&2\\-1&6&0\\4&5&-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).

3det(\left(\begin{matrix}6&0\\5&-2\end{matrix}\right))-\left(-det(\left(\begin{matrix}-1&0\\4&-2\end{matrix}\right))\right)+2det(\left(\begin{matrix}-1&6\\4&5\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.

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

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

3\left(-12\right)-\left(-2\right)+2\left(-29\right)

Whakarūnātia.

-92

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.