Question: Suppose that {v1, v2, v3, ... , vn} is a set of vectors. Prove that {v1 - v2, v2 - v3, v3 - v4, ...

Suppose that {v1, v2, v3, ... , vn} is a set of vectors. Prove that
{v1 - v2, v2 - v3, v3 - v4, ... , vn - v1}
is a linearly dependent set.

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