Basis of Orthogonal Complement


by georgetown13
Tags: linear alegbra, orthogonal
georgetown13
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#1
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!
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Dick
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#2
Apr20-10, 11:19 PM
Sci Advisor
HW Helper
Thanks
P: 25,165
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?


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