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A geometrical interpretation of the inverse matrix

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Publication:330134
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DOI10.1186/s13660-016-1198-6zbMath1352.15006OpenAlexW2534807635WikidataQ59466046 ScholiaQ59466046MaRDI QIDQ330134

Yanping Zhou, Bin-Wu He

Publication date: 24 October 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1198-6


zbMATH Keywords

inverse matrixgeneralized inversegeometrical interpretationparallellotopevolume formulas


Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)




Cites Work

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  • A volume associated with \(m{\times}n\) matrices
  • An application of the matrix volume in probability
  • The sine theorem and inequalities for volumes of simplices and determinants
  • The Change-of-Variables Formula Using Matrix Volume
  • Geometry. I, II. Transl. from the French by M. Cole and S. Levy


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