Whakaoti i te {cc}{5}&{10}{-30}&{15}{cc}{1}&{-2}{2}&{1}

$$\left( \begin{array} { c c } { 5 } & { 10 } \\ { - 30 } & { 15 } \end{array} \right) \left( \begin{array} { c c } { 1 } & { - 2 } \\ { 2 } & { 1 } \end{array} \right)$$

Aromātai

$$\left(\begin{matrix}25&0\\0&75\end{matrix}\right)$$

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.

$$\left(\begin{matrix}5&10\\-30&15\end{matrix}\right)\left(\begin{matrix}1&-2\\2&1\end{matrix}\right)$$

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.

$$\left(\begin{matrix}5+10\times 2&\\&\end{matrix}\right)$$

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

$$\left(\begin{matrix}5+10\times 2&5\left(-2\right)+10\\-30+15\times 2&-30\left(-2\right)+15\end{matrix}\right)$$

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

$$\left(\begin{matrix}5+20&-10+10\\-30+30&60+15\end{matrix}\right)$$

Tapekehia ia huānga o te poukapa.

$$\left(\begin{matrix}25&0\\0&75\end{matrix}\right)$$

Tātai Tau Whakatau

$$1875$$