Note:
Let $W = [w_1, \cdots w_n]$ and $V = [v_1, \cdots, v_n]$
, then we have $W = VC^T$, and $V = W(C^T)^{-1}$,
i.e. W also spans the vector space, and $w_{n+1}$
is dependent on the set $W$.
From this lemma, an important result can be proved:
The proof is easy enough, but I want to give it a visualization here:
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