| 21. | The two previous theorems raise the question of whether all inner product spaces have an orthonormal basis.
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| 22. | Every symmetric matrix is thus, up to choice of an orthonormal basis, a diagonal matrix.
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| 23. | So is the kernel of the Fourier transform actually an orthonormal basis for L2 [ R ]?
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| 24. | Applying the Gram Schmidt process to, there is a unique orthonormal basis and positive constants such that
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| 25. | The rows of this matrix are mutually perpendicular unit vectors : an orthonormal basis of ! 3.
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| 26. | Orthonormal basis vectors share the algebra of the Pauli matrices, but are usually not equated with them.
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| 27. | Let be an orthonormal basis for, and let \ phi : F \ to B be a bijection.
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| 28. | An orthonormal basis is a basis where all basis vectors have length 1 and are orthogonal to each other.
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| 29. | Given any finite-dimensional vector space, an orthonormal basis could be found by the Gram Schmidt procedure.
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| 30. | In this special case, the columns of are eigenvectors of both and and form an orthonormal basis in.
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