Assume the inner product is the standard inner product over the complexes.
Find an orthonormal basis for each of W and Wperp..
The Attempt at a Solution
Obviously I need to use Gram-Schmidt orthogonalization here, to find the orthonormal basis.
So I've applied the process to W, and normalized each vector to get an orthonormal basis. But I'm confused here as to what I would do for Wperp.. Don't I use G-S on W to find Wperp.? Am I finding the basis of W or am I finding Wperp. by applying G-S, and how am I supposed to find the other one?
If my guess is correct, do I find Wperp. by applying G-S to W, and then the orthonormal basis is each of these vectors normalized? Then I would apply G-S to Wperp. and normalized each of those vectors.
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