Prove 1. For each u ∈ R n there is a v ∈ R n such...

Prove

1. For each u ∈ R n there is a v ∈ R n such that u + v= 0

2. For all u, v ∈ R n and a ∈ R, a(u + v) = au + av

3. For all u ∈ R n and a, b ∈ R, (a + b)u = au + bu

4. For all u ∈ R n , 1u=u

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Expert Solution

Colby Messinger answered 6 months ago

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