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  3. 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...

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Question

Advance Math

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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