Open Access
June 2014 Two applications of matrix volume
Qinghua CHEN, Zhenqiang ZHOU, Jinzhou ZHANG, Rongqun CHEN
Hokkaido Math. J. 43(2): 261-274 (June 2014). DOI: 10.14492/hokmj/1404229924

Abstract

This paper puts forward two applications of matrix volume. First, we present a new method to determine whether a matrix is orthogonal; second, a new way is given to indicate whether a linear system is consistent.

Citation

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Qinghua CHEN. Zhenqiang ZHOU. Jinzhou ZHANG. Rongqun CHEN. "Two applications of matrix volume." Hokkaido Math. J. 43 (2) 261 - 274, June 2014. https://doi.org/10.14492/hokmj/1404229924

Information

Published: June 2014
First available in Project Euclid: 1 July 2014

zbMATH: 1296.15014
MathSciNet: MR3229073
Digital Object Identifier: 10.14492/hokmj/1404229924

Subjects:
Primary: 15A06 , 15B10

Keywords: linear system , orthogonal matrix , the volume of a matrix

Rights: Copyright © 2014 Hokkaido University, Department of Mathematics

Vol.43 • No. 2 • June 2014
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