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

I don't understand the difference between an orthogonal complement and it's basis. In this problem: W = [x,y,z]: 2x-y+3z=0 Find w's orthogonal complement and the basis for the orthogonal complement.

3. The attempt at a solution

I did a quick reduced row echelon to [2,-1,3] to get [1,-.5,1.5] and then found the nullspace which is [.5,1,0] and [-1.5,0,1] and this is either the orthogonal complement or the orthogonal complement's basis. Anyone know the difference?

**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: Difference between an orthogonal complement and the orthogonal complement's basis.

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