# A Matricial Proof of the Symmetric Exchange Axiom for Eigenvalues of Principal Submatrices of a Complex Hermitian Matrix

- Authors
- Journal
- Linear Algebra and its Applications 0024-3795
- Publisher
- Elsevier
- Publication Date
- Volume
- 438
- Issue
- 9
- Identifiers
- DOI: 10.1016/j.laa.2013.01.006
- Keywords

## Abstract

Abstract In [C.R. Johnson, B. Kroschel, M. Omladič, Eigenvalue multiplicities in principal submatrices, Linear Algebra Appl. 390 (2004) 111-120] a result constraining the eigenvalues of principal submatrices of complex Hermitian matrices, based upon matroid theory, was given. Here we give a matricial proof of this result which also enables us to find a generalization of the original result.

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