Whakaoti i te {cc}{1}&{2}{-2}&{1}{cc}{13}&{-4}{-4}&{7}

$$\left( \begin{array} { c c } { 1 } & { 2 } \\ { - 2 } & { 1 } \end{array} \right) \left( \begin{array} { c c } { 13 } & { - 4 } \\ { - 4 } & { 7 } \end{array} \right)$$

Aromātai

$$\left(\begin{matrix}5&10\\-30&15\end{matrix}\right)$$

Ngā Upane e Whakamahi ana i te Ture Whakarea Poukapa

Ka tautuhia te whakareanga poukapa mēnā he ōrite te tau o ngā tīwae o te poukapa tuatahi ki te tau o ngā rārangi o te poukapa tuarua.

$$\left(\begin{matrix}1&2\\-2&1\end{matrix}\right)\left(\begin{matrix}13&-4\\-4&7\end{matrix}\right)$$

Whakareatia ia huānga o te rārangi tuatahi o te poukapa tuatahi ki te huānga hāngai o te tīwae tuatahi o te poukapa tuarua kā tāpiri i ēnei hua kia kitea ai te huānga i te rārangi tuatahi, tīwae tuatahi o te poukapa hua.

$$\left(\begin{matrix}13+2\left(-4\right)&\\&\end{matrix}\right)$$

Ka kitea ngā toenga huānga o te poukapa hua mā taua tikanga anō.

$$\left(\begin{matrix}13+2\left(-4\right)&-4+2\times 7\\-2\times 13-4&-2\left(-4\right)+7\end{matrix}\right)$$

Whakarūnātia ia huānga mā te whakarea i ngā kīanga tau takitahi.

$$\left(\begin{matrix}13-8&-4+14\\-26-4&8+7\end{matrix}\right)$$

Tapekehia ia huānga o te poukapa.

$$\left(\begin{matrix}5&10\\-30&15\end{matrix}\right)$$

Tātai Tau Whakatau

$$375$$