Linear Algebra

Free Version

Upgrade subject to access all content

Easy

Quadrant $1$

LINALG-ESN3Y2

If:

$$W=\left\{\begin{pmatrix} x \\\ y \end{pmatrix}\in\mathbb{R}^2\ |\ xy\geq 0\right\}$$

...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