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

V is a subspace of the vector space [itex]R^{3}[/itex] given by:

V = {(x, y, z) E [itex]R^{3}[/itex] / x + 2y + z = 0 and -x + 3y + 2z = 0}

Find a subspace W of [itex]R^{3}[/itex] such that [itex]R^{3}[/itex] = V[itex]\oplus[/itex]W

I'm really lost in this. My teacher didn't give any example of how to solve this kind of exercise... Can anyone help me how to start and develope this?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear Algebra - Find a subspace

**Physics Forums | Science Articles, Homework Help, Discussion**