CPM Homework Help : PC3 Problem 9-103

A matrix $M$ takes $\textbf{v} = (1, 0)$ to $(2, 0)$ and $\textbf{w} = (0, 1)$ to $(0, 2)$ .

Write the matrix $M$ explicitly.
Step (a):
$\begin{bmatrix}a&b\\c&d\end{bmatrix}\begin{bmatrix}1\\0\end{bmatrix}=\begin{bmatrix}2\\0\end{bmatrix}$