Whakaoti i te {ccc}{1}&{-16}&{19}{7}&{-6}&{13}{3}&{6}&{4}

Aromātai

Tauwehe

Pātaitai

Ngā Raru Ōrite mai i te Rapu Tukutuku

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-0-1-4-3-2-3-8-3-4

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-to-calculate-this-abs-4-4-m-6-m-3-m-3-3-4

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}1&-16&19\\7&-6&13\\3&6&4\end{matrix}\right))

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

\left(\begin{matrix}1&-16&19&1&-16\\7&-6&13&7&-6\\3&6&4&3&6\end{matrix}\right)

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

-6\times 4-16\times 13\times 3+19\times 7\times 6=150

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

3\left(-6\right)\times 19+6\times 13+4\times 7\left(-16\right)=-712

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

150-\left(-712\right)

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

862

Tango -712 mai i 150.

det(\left(\begin{matrix}1&-16&19\\7&-6&13\\3&6&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).

det(\left(\begin{matrix}-6&13\\6&4\end{matrix}\right))-\left(-16det(\left(\begin{matrix}7&13\\3&4\end{matrix}\right))\right)+19det(\left(\begin{matrix}7&-6\\3&6\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.

-6\times 4-6\times 13-\left(-16\left(7\times 4-3\times 13\right)\right)+19\left(7\times 6-3\left(-6\right)\right)

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

-102-\left(-16\left(-11\right)\right)+19\times 60

Whakarūnātia.

862

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.