Basis of Orthogonal Complement

Thread starter georgetown13
Start date Apr 20, 2010
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Basis Orthogonal

Apr 20, 2010

georgetown13

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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Apr 20, 2010

Dick

Science Advisor

Homework Helper

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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