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zeion
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Homework Statement
Prove that the additive identity in a vector space is unique
Homework Equations
Additive identity
There is an element 0 in V such that v + 0 = v for all v in V
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??