Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/16293
Title: Every invertible matrix is diagonally equivalent to a matrix with distinct eigenvalues
Authors: Choi, MD
Huang, Z
Li, CK
Sze, NS 
Keywords: Diagonal matrices
Distinct eigenvalues
Invertible matrices
Issue Date: 2012
Publisher: North-Holland
Source: Linear algebra and its applications, 2012, v. 436, no. 9, p. 3773-3776 How to cite?
Journal: Linear algebra and its applications 
Abstract: We show that for every invertible n×n complex matrix A there is an n×n diagonal invertible D such that AD has distinct eigenvalues. Using this result, we affirm a conjecture of Feng, Li, and Huang that an n×n matrix is not diagonally equivalent to a matrix with distinct eigenvalues if and only if it is singular and all its principal minors of size n-1 are zero.
URI: http://hdl.handle.net/10397/16293
ISSN: 0024-3795
EISSN: 1873-1856
DOI: 10.1016/j.laa.2011.12.010
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