What is the matrix transformation which takes the independent vectors $\begin{pmatrix}
1& \\
2&
\end{pmatrix}$ and $\begin{pmatrix}
2& \\
5&
\end{pmatrix}$ and transforms them to $\begin{pmatrix}
1& \\
1&
\end{pmatrix}$ and $\begin{pmatrix}
3& \\
2&
\end{pmatrix}$ respectively?
- $\begin{pmatrix}
1&-1 \\
1& 0
\end{pmatrix}$
- $\begin{pmatrix}
0&0 \\
0.5& 0.5
\end{pmatrix}$
- $\begin{pmatrix}
-1&0 \\
1& 1
\end{pmatrix}$
- $\begin{pmatrix}
-1&1 \\
1& 0
\end{pmatrix}$