- #1

- 7

- 0

## Homework Statement

Show that set S = {(x , y, z ) | x + 2y − z = 0} is a subspace of Real Numbers^3.

## Homework Equations

A subspace needs to be closed under addition and scalar multiplication

## The Attempt at a Solution

S = { (x, y, x+2y) | x, y are elements of Real Numbers }

Now where do I go from here what do I have to do to show closure under addition and scalar multiplication ?

Thanks !