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- We choose to normalize each eigenvector

- and we have proved

- eigenvectors are ORTHOnormal whether or not eigenvalues are
degenerate
- Define a matrix U so that columns of
are orthonormal
eigenvectors

- U is UNITARY
- This unitary condition is exactly the orthonormality condition.
Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu