6(b). (4 points) Determine whether the following statement is True or False; if False, provide a justification explaining why it is incorrect. You will receive 4 points for a correct answer, a penalty of −4 points for an incorrect answer, or 0 points for no answer.

If $W$ is a subspace of $\mathbb{R}^n$, then the orthogonal complement of $W$ is also a subspace of $\mathbb{R}^n$.