Find the normalization transformation that maps a window whose lower left corner is at $(1,1)$ and upper right corner is at $(3,5)$ onto a viewpoint that is the entire normalized device screen
- $\begin{pmatrix} \dfrac{1}{2} & 0 & \dfrac{-1}{2} \\ 0 & \dfrac{1}{4} & \dfrac{-1}{4} \\ 0 & 0 & 1 \end{pmatrix} \\$
- $\begin{pmatrix} \dfrac{1}{2} & 0 & \dfrac{1}{2} \\ 0 & \dfrac{-1}{4} & \dfrac{1}{4} \\ 1 & 1 & 1 \end{pmatrix} \\$
- $\begin{pmatrix} \dfrac{1}{2} & 0 & \dfrac{-1}{2} \\ 0 & \dfrac{1}{4} & \dfrac{1}{4} \\ 1 & 0 & 0 \end{pmatrix} \\$
- $\begin{pmatrix} \dfrac{1}{2} & 0 & \dfrac{1}{2} \\ 0 & \dfrac{1}{4} & \dfrac{-1}{4} \\ 1 & 0 & 0 \end{pmatrix}$