Whakaoti i te {ccc}{13}&{6}&{5}{3}&{6}&{-4}{13}&{8}&{3}

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-4-6-7-3-2-4-1-1-1

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

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-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}13&6&5\\3&6&-4\\13&8&3\end{matrix}\right))

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

\left(\begin{matrix}13&6&5&13&6\\3&6&-4&3&6\\13&8&3&13&8\end{matrix}\right)

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

13\times 6\times 3+6\left(-4\right)\times 13+5\times 3\times 8=42

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

13\times 6\times 5+8\left(-4\right)\times 13+3\times 3\times 6=28

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

42-28

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

Tango 28 mai i 42.

det(\left(\begin{matrix}13&6&5\\3&6&-4\\13&8&3\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).

13det(\left(\begin{matrix}6&-4\\8&3\end{matrix}\right))-6det(\left(\begin{matrix}3&-4\\13&3\end{matrix}\right))+5det(\left(\begin{matrix}3&6\\13&8\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.

13\left(6\times 3-8\left(-4\right)\right)-6\left(3\times 3-13\left(-4\right)\right)+5\left(3\times 8-13\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.

13\times 50-6\times 61+5\left(-54\right)

Whakarūnātia.

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.