Whakaoti i te aAx=b+lambdaa

$$a A x = b + \lambda a$$

Whakaoti mō A (complex solution)

$$\left\{\begin{matrix}A=\frac{a\lambda +b}{ax}\text{, }&x\neq 0\text{ and }a\neq 0\\A\in \mathrm{C}\text{, }&\left(b=-a\lambda \text{ and }x=0\right)\text{ or }\left(b=0\text{ and }a=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$axA=a\lambda +b$$

Whakawehea ngā taha e rua ki te ax.

$$\frac{axA}{ax}=\frac{a\lambda +b}{ax}$$

Mā te whakawehe ki te ax ka wetekia te whakareanga ki te ax.

$$A=\frac{a\lambda +b}{ax}$$

Whakaoti mō a (complex solution)

$$\left\{\begin{matrix}a=\frac{b}{Ax-\lambda }\text{, }&\lambda \neq Ax\\a\in \mathrm{C}\text{, }&b=0\text{ and }\lambda =Ax\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \lambda a mai i ngā taha e rua.

$$aAx-\lambda a=b$$

Pahekotia ngā kīanga tau katoa e whai ana i te a.

$$\left(Ax-\lambda \right)a=b$$

Whakawehea ngā taha e rua ki te Ax-\lambda .

$$\frac{\left(Ax-\lambda \right)a}{Ax-\lambda }=\frac{b}{Ax-\lambda }$$

Mā te whakawehe ki te Ax-\lambda ka wetekia te whakareanga ki te Ax-\lambda .

$$a=\frac{b}{Ax-\lambda }$$

Whakaoti mō A

$$\left\{\begin{matrix}A=\frac{a\lambda +b}{ax}\text{, }&x\neq 0\text{ and }a\neq 0\\A\in \mathrm{R}\text{, }&\left(b=-a\lambda \text{ and }x=0\right)\text{ or }\left(b=0\text{ and }a=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$axA=a\lambda +b$$

Whakawehea ngā taha e rua ki te ax.

$$\frac{axA}{ax}=\frac{a\lambda +b}{ax}$$

Mā te whakawehe ki te ax ka wetekia te whakareanga ki te ax.

$$A=\frac{a\lambda +b}{ax}$$

Whakaoti mō a

$$\left\{\begin{matrix}a=\frac{b}{Ax-\lambda }\text{, }&\lambda \neq Ax\\a\in \mathrm{R}\text{, }&b=0\text{ and }\lambda =Ax\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \lambda a mai i ngā taha e rua.

$$aAx-\lambda a=b$$

Pahekotia ngā kīanga tau katoa e whai ana i te a.

$$\left(Ax-\lambda \right)a=b$$

Whakawehea ngā taha e rua ki te Ax-\lambda .

$$\frac{\left(Ax-\lambda \right)a}{Ax-\lambda }=\frac{b}{Ax-\lambda }$$

Mā te whakawehe ki te Ax-\lambda ka wetekia te whakareanga ki te Ax-\lambda .

$$a=\frac{b}{Ax-\lambda }$$