What is the matrix transformation which takes the independent vectors $$\begin{bmatrix}1\\2 \end{bmatrix}$$ and $$\begin{bmatrix}2\\5 \end{bmatrix}$$ and transforms them to $$\begin{bmatrix}1\\1 \end{bmatrix}$$ and $$\begin{bmatrix}3\\2 \end{bmatrix}$$ respectively?

A

$$\begin{bmatrix}1 & -1 \\1 & 0 \end{bmatrix}$$

B

$$\begin{bmatrix}0 & 0 \\0.5 & 0.5 \end{bmatrix}$$

C

$$\begin{bmatrix}-1 & 0 \\1 & 1 \end{bmatrix}$$

D

$$\begin{bmatrix}-1 & 1 \\1 & 0 \end{bmatrix}$$