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Why can only real symmetric matrices be transformed into diagonal matrices by orthogonal transformation?
The following is a small paper about diagonal judgment of matrix by others. It can be seen from the article that whether it is a complex matrix affects what criteria are used, and the complex matrix depends on whether there are multiple roots.

This should be matrix analysis, and line generation can't be so deep.

Article: 220.161.122.70: 8000/jpkc/pic/200871965081854.doc.