- #1

jeffreylze

- 44

- 0

## Homework Statement

Show that the following set of vectors are subspaces of R^m

The set of all vectors (x,y,z) such that x+y+z=0 of R^3 .

Then find a set that spans this subspace.

## Homework Equations

## The Attempt at a Solution

I managed to proof that the set of vectors is a subspace by showing that it is non-empty, closed under addition and scalar multiplication. However, I have no idea how to start on part b, how do I find a spanning set for that subspace? If I am not mistaken, I have to find linear combinations.