On Sat, Feb 25, 2023 at 11:39 AM <louis.peti...@csi.cuny.edu> wrote: > Dear all, > > I am not an expert in NumPy but my undergraduate student is having some > issues with the way Numpy returns the normalized eigenvectors corresponding > to the eigenvalues. We do understand that an eigenvector is divided by the > norm to get the unit eigenvectors, however we do need the original vectors > for the purpose of my research. This has been a really frustrated > experience as NumPy returns the normalized vectors as a default. I > appreciate any suggestions of how to go about this issue. This seems to be > a outstanding issue from people using Numpy. >
I'm not sure what you mean by "the original vectors". All multiples of the unit eigenvector are eigenvectors. None have a claim on being "the original vector". Do you have a reference for what you are referring to? It's possible that there are specific procedures that happen to spit out vectors that are eigenvectors but have semantics about the magnitude, but `np.linalg.eig()` does not implement that procedure. The semantics about the magnitude would be supplied by that specific procedure. -- Robert Kern
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