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

Prove that the additive identity in a vector space is unique

2. Relevant equations

Additive identity

There is an element 0 in V such that v + 0 = v for all v in V

3. The attempt at a solution

Assume that the additive identity is NOT unique, then there exists y, z belong to V such that

A + y = A + z = A, then y = z = 0, which is a contradiction.

Is this enough to prove??

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# Homework Help: Prove that the additive identity in a vector space is unique

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