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

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-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-determinant-of-4-6-7-3-2-4-1-1-1

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-value-of-the-determinant-4-1-0-5-15-1-2-10-7

Tohaina

Kua tāruatia ki te papatopenga

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

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

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

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

3\times 5\times 4-\left(-5\left(-1\right)\right)=55

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

-6\times 3+4\left(-5\right)\times 2=-58

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

55-\left(-58\right)

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

113

Tango -58 mai i 55.

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

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

3\times 26-2\left(-20\right)-5

Whakarūnātia.

113

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.