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## Homework Statement

Prove that V is a subspace of R

^{4}

Actual problem is attached

## Homework 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

## 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?