Whakaoti i te {lll}{1}&{0}&{3}{2}&{3}&{4}{5}&{7}&{6}

$$\left( \begin{array} { l l l } { 1 } & { 0 } & { 3 } \\ { 2 } & { 3 } & { 4 } \\ { 5 } & { 7 } & { 6 } \end{array} \right)$$

Tātai Tau Whakatau

$$-13$$

Ngā Upane e Whakamahi ana i te Ture Sarrus

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

$$det(\left(\begin{matrix}1&0&3\\2&3&4\\5&7&6\end{matrix}\right))$$

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

$$\left(\begin{matrix}1&0&3&1&0\\2&3&4&2&3\\5&7&6&5&7\end{matrix}\right)$$

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

$$3\times 6+3\times 2\times 7=60$$

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

$$5\times 3\times 3+7\times 4=73$$

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

$$60-73$$

Tango 73 mai i 60.

$$-13$$

Ngā Upane e Whakamahi ana i te Whakaroha mā Ngā Tauriki

Kimihia te tau whakatau o te poukapa mā te whakamahi i te tikanga whakaroha ā-tauriki (te tikanga whakaroha ā-tauwehe tahi rānei).

$$det(\left(\begin{matrix}1&0&3\\2&3&4\\5&7&6\end{matrix}\right))$$

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.

$$det(\left(\begin{matrix}3&4\\7&6\end{matrix}\right))+3det(\left(\begin{matrix}2&3\\5&7\end{matrix}\right))$$

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

$$3\times 6-7\times 4+3\left(2\times 7-5\times 3\right)$$

Whakarūnātia.

$$-10+3\left(-1\right)$$

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.

$$-13$$

Aromātai

$$\left(\begin{matrix}1&0&3\\2&3&4\\5&7&6\end{matrix}\right)$$