linear algebra: gram-schmidt process

find an orthonormal basis for the subspace of r3 consisting of all vectors [a; b; c] such that a+b+c=0.

answer: {[1/root2; 0; -1/root2], [-1/root6; 2/root6; -1/root6]}

are you supposed to use the gram-schmidt to solve this? I don't really get how to approach this question...

Question

linear algebra: gram-schmidt process

find an orthonormal basis for the subspace of r3 consisting of all vectors [a; b; c] such that a+b+c=0. 

answer: {[1/root2; 0; -1/root2], [-1/root6; 2/root6; -1/root6]}

are you supposed to use the gram-schmidt to solve this? I don't really get how to approach this question...

he66666 · Answer

In the first drawing, I don't get the third line. Shouldn't it be 2c^2 -2ab instead of 2c^2 +2ab?

anonymous · Answer

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