Whakaoti i te {lll}{3}&{1}&{30}{1}&{2}&{102}{2}&{4}&{199}

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

https://socratic.org/questions/a-bicycle-is-originally-priced-at-80-the-store-owner-gives-a-discount-and-the-bi

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-25-36-15-31-12-2-17-15-9

https://math.stackexchange.com/questions/2939089/taking-signs-out-of-columns-of-matrix

Tohaina

Kua tāruatia ki te papatopenga

det(\left(\begin{matrix}3&1&30\\1&2&102\\2&4&199\end{matrix}\right))

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

\left(\begin{matrix}3&1&30&3&1\\1&2&102&1&2\\2&4&199&2&4\end{matrix}\right)

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

3\times 2\times 199+102\times 2+30\times 4=1518

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

2\times 2\times 30+4\times 102\times 3+199=1543

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

1518-1543

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

-25

Tango 1543 mai i 1518.

det(\left(\begin{matrix}3&1&30\\1&2&102\\2&4&199\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}2&102\\4&199\end{matrix}\right))-det(\left(\begin{matrix}1&102\\2&199\end{matrix}\right))+30det(\left(\begin{matrix}1&2\\2&4\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(2\times 199-4\times 102\right)-\left(199-2\times 102\right)+30\left(4-2\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.

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

Whakarūnātia.

-25

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.