?

Linear Algebra

Free Version

Upgrade subject to access all content

Easy

Sort of a Subspace

LINALG-HVYOKX

If $W=\left\{\begin{pmatrix} x\\\ y\end{pmatrix}\in\mathbb{R}^2\ |\ x,y\text{ are integers}\right\}$, which one of the following statements is TRUE?

A

$W$ is a subspace of $\mathbb{R}^2$

B

$W$ does not contain the zero vector

C

$W$ is not closed under scalar multiplication

D

$W$ is not closed under vector addition