### Home > PC3 > Chapter 9 > Lesson 9.2.1 > Problem9-103

9-103.

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

1. Write the matrix $M$ explicitly.

$\begin{bmatrix}a&b\\c&d\end{bmatrix}\begin{bmatrix}1\\0\end{bmatrix}=\begin{bmatrix}2\\0\end{bmatrix}$

1. Describe what $M$ does to any vector.