## Linear Algebra: A Modern Introduction

$$u+v=\begin{bmatrix} 1\\0\\1\\0\\0 \end{bmatrix}$$
The first component of $u+v$ is $0+1=1$, the second is $1+1=0$, the third is $0+1=1$, the fourth is $1+1=0$, and the fifth is $0+0=0$.