i have problems in the following task:
Find a similarity transformation $F:\mathbb{R}²\rightarrow \mathbb{R}²$ so that
- $F(1,1)=(2,0)$
- $F(1,3)=(2,1)$
- $F(3,1)=(1,0)$
I started by using the definition of a similarity transformation: $F(x)=\lambda\cdot f(x)+q$. But i have no idea to go further. Can anybody help me?