| To: | s-news@lists.biostat.wustl.edu |
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| Subject: | matrix from eigenvalues |
| From: | Jewel Bright <jwlbright@yahoo.com> |
| Date: | Tue, 11 Mar 2008 10:31:35 -0700 (PDT) |
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Friends: Please, I need urgent help! Something's wrong with the part of my brain containing linear algebra! Here is the problem. Suppose that I HAVE the set of eigenvalues of a REAL matrix A. I do not have the matrix itself. These eigenvalues are, generally, complex numbers. Of course, those which are complex are combined in complex-conjugate pairs. I need to reconstruct the matrix A. How can I do that? I know that the solution is not unique, and that given one such matrix, the other ones may be obtained by orthogonal rotation of A. But in order to start, I need at least one such matrix. So, how can I reconstruct the matrix through its eigenvalues? Thank you, people! I know that you are smart and kind! Jewel Bright
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