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Linear Algebra and its Applications 387 (2004) 277286 www.elsevier.com/locate/laa
 

Summary: Linear Algebra and its Applications 387 (2004) 277286
www.elsevier.com/locate/laa
An involutory Pascal matrix
Ashkan Ashrafi a, Peter M. Gibson b,
aDepartment of Electrical and Computer Engineering, University of Alabama in Huntsville,
Huntsville, AL 35899, USA
bDepartment of Mathematical Sciences, University of Alabama in Huntsville, 204 Madison Hall,
Huntsville, AL 35899, USA
Received 21 October 2003; accepted 17 February 2004
Submitted by R.A. Brualdi
Abstract
An involutory upper triangular Pascal matrix Un is investigated. Eigenvectors of Un and
of UT
n are considered. A characterization of Un is obtained, and it is shown how the results
can be extended to matrices over a commutative ring with unity.
2004 Elsevier Inc. All rights reserved.
Keywords: Pascal matrices; Involutory matrices; Eigenvectors; Matrices over a ring
1. Introduction
Let Un = (uij ) be the real upper triangular matrix of order n with
uij = (-1)i-1 j - 1

  

Source: Ashrafi, Ashkan - Department of Electrical and Computer Engineering, San Diego State University

 

Collections: Engineering; Computer Technologies and Information Sciences