(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let F be a subset of the complex numbers. Let V be a vector space over F, and suppose α, β and γ are linearly independent vectors in V. Prove that (α+β), (β+γ) and (γ+α) are linearly independent.

2. Relevant equations

None.

3. The attempt at a solution

None.

Thanks for your time.

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# Prove that α+β is linearly independent.

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