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It is easy to show that $X$ is a vector subspace of $\mathbb{C}^n$. Furthermore, the $n-1$ vectors $x^{(i)}$, for $i \in \\{1,\dots,n-1\\}$, defined by $\left(x^{(i)}\right)_i = 1$, $\left(x^{(i)}\...

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