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Linear Algebra

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Moderate

Finite Dimension: Sum-Zero Subspace of R^n

LINALG-WNWDFJ

Let $W = \{(x_1, x_2, \ldots, x_n) \in \mathbb{R}^n \mid x_1 + x_2 + \ldots + x_n = 0\}$, which is a subspace of $\mathbb{R}^n$. What is $\dim(W)$?

A

$n+1$

B

$n$

C

$n-1$

D

$n-2$

E

$2$

F

$1$