- #1

Panphobia

- 435

- 13

## Homework Statement

(x,y,z) where 2x + 2y + z = 1

Is this set a subspace of R^3?

## The Attempt at a Solution

I am thinking it is not since it does not contain the origin since

2(0)+2(0) + 0 = 1

0 != 1

(!= means not equal)

Am I right? I am kind of having trouble with this part of linear algebra since the textbook is so vague about this.