Register to reply

Basis of Orthogonal Complement

by georgetown13
Tags: linear alegbra, orthogonal
Share this thread:
Apr20-10, 11:10 PM
P: 7
Let S be the subspace of R^3 spanned by x=(1,-1,1)^T.

Find a basis for the orthogonal complement of S.

I don't even know where to start... I would appreciate your help!
Phys.Org News Partner Science news on
Apple to unveil 'iWatch' on September 9
NASA deep-space rocket, SLS, to launch in 2018
Study examines 13,000-year-old nanodiamonds from multiple locations across three continents
Apr20-10, 11:19 PM
Sci Advisor
HW Helper
P: 25,228
If (a,b,c)^T is a general vector in R^3 then it's orthogonal to (1,-1,1)^T if the dot product is zero. What conditions does that give you on a, b and c?

Register to reply

Related Discussions
Orthogonal complement of a subspace Calculus & Beyond Homework 3
Difference between an orthogonal complement and the orthogonal complement's basis. Calculus & Beyond Homework 2
Orthogonal Complement Calculus & Beyond Homework 1
Orthogonal complement question Calculus & Beyond Homework 1
Orthogonal complement Linear & Abstract Algebra 11