A new look at sylvester's theorem in matrix theory

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By diagonalizing a matrix via a similarity transformation, we provide a new and direct proof of Sylvester's theorem in matrix theory. Several known theorems are reconstructed. In some places we offer new connections which are unnoticed in the literature before.

Original languageEnglish
Pages (from-to)209-215
Number of pages7
JournalJournal of Mechanics
Issue number4
Publication statusPublished - 1998 Jan 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics


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