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A New Look at Sylvester's Theorem in Matrix Theory
Published online by Cambridge University Press: 05 May 2011
Abstract
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.
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- Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998