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

Prove that V is a subspace of R^{4}

Actual problem is attached

2. Relevant equations

- S contains a zero element

- for any x in V and y in V, x + y is in V

- for any x in V and scalar k, kx is in V

3. The attempt at a solution

Its obvious that V is a subset of R^{4}. And I know I must prove that is it contains zero vector which is obvious. But how to I prove its closure, I can see that it is by looking but how exactly do I denote it?

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# Homework Help: Prove that V is a subspace of R4

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