Finding orthogonal basis for the nullspace of a matrix?

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Homework Statement



Find an orthogonal basis for the nullspace of the matrix

[2 -2 14]
[0 3 -7]
[0 0 2]


Homework Equations





The Attempt at a Solution



The nullspace is x = [0, 0, 0], so what is the orthogonal basis? It can be anything can't it?
 
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The nullspace (or kernel) of this matrix is {(0, 0, 0)}. The zero vector is the only vector in this set, so you're done.
 

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