- #1
catsarebad
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okay so I'm having some conceptual difficulty
given some vector space V (assume finite dimension if needed)
which has some orthonormal basis
i'm given a vector x in V (assume magnitude 1 so it is normalized)
now my question is:
can x belong to some orthonormal basis of v? basically can any normalized vector in V belong to some orthonormal basis that spans V.
given some vector space V (assume finite dimension if needed)
which has some orthonormal basis
i'm given a vector x in V (assume magnitude 1 so it is normalized)
now my question is:
can x belong to some orthonormal basis of v? basically can any normalized vector in V belong to some orthonormal basis that spans V.