Whakaoti i te {lll}{1}&{1}&{0}{1}&{1}&{t}{0}&{1}&{1}

$$\left( \begin{array} { l l l } { 1 } & { 1 } & { 0 } \\ { 1 } & { 1 } & { t } \\ { 0 } & { 1 } & { 1 } \end{array} \right)$$

Tātai Tau Whakatau

$$-t$$

Ngā Upane e Whakamahi ana i te Ture Sarrus

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

$$det(\left(\begin{matrix}1&1&0\\1&1&t\\0&1&1\end{matrix}\right))$$

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

$$\left(\begin{matrix}1&1&0&1&1\\1&1&t&1&1\\0&1&1&0&1\end{matrix}\right)$$

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

$$1=1$$

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

$$t+1=t+1$$

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

$$1-\left(t+1\right)$$

Tango t+1 mai i 1.

$$-t$$

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).

$$det(\left(\begin{matrix}1&1&0\\1&1&t\\0&1&1\end{matrix}\right))$$

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.

$$det(\left(\begin{matrix}1&t\\1&1\end{matrix}\right))-det(\left(\begin{matrix}1&t\\0&1\end{matrix}\right))$$

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

$$1-t-1$$

Tāpirihia ngā kīanga tau hei kimi i te otinga whakamutunga.

$$-t$$

Aromātai

$$\left(\begin{matrix}1&1&0\\1&1&t\\0&1&1\end{matrix}\right)$$