Advances in Sciences and Humanities

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Groups of Rectangular Matrices from a Group of Square Matrices

Received: 25 August 2015    Accepted: 14 October 2015    Published: 15 October 2015
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Abstract

Extension of the usual matrix product has been defined in order that two any matrices have product. From a group of square matrices many groups of rectangular matrices for the extended product can be constructed. Then an example of a group of square matrices whose identity element is not the identity matrix has been given.

DOI 10.11648/j.ash.20150103.11
Published in Advances in Sciences and Humanities (Volume 1, Issue 3, December 2015)
Page(s) 52-54
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Rectangular Matrices, Usual Product of Matrices, Extended Product of Matrices, Groups

References
[1] Pushpa, P. S. Bisht, Tianjun Li, O. P. S. Negi, “Quaternion Octonion Reformulation of Grand Unified Theories”, International Journal of Theoretical Physics., 51(10), (2012), 3228-3235.
[2] D. Berenstein, “A Matrix Model for a Quantum Hall Droplet with manifest Particle-hole Symmetry”, Phys. Rev. D71, 085001,(2005).
[3] M. Srednicki, “A new Construction of the Penner Model”, Mod. Phys.Lett.A07,2857-2860,(1992), DOI:10.1142/S0217732392 004237.
[4] S. Majid, “On the Addition of Quantum Matrices”, Journal of Mathematical Physics 08, (1993), DOI:10.1063/1.530527.
Author Information
  • Department of Civil Engineering, Institut Supérieur de Technologie d'Antananarivo (IST-T), Antananarivo, Madagascar

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    Christian Rakotonirina. (2015). Groups of Rectangular Matrices from a Group of Square Matrices. Advances in Sciences and Humanities, 1(3), 52-54. https://doi.org/10.11648/j.ash.20150103.11

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    ACS Style

    Christian Rakotonirina. Groups of Rectangular Matrices from a Group of Square Matrices. Adv. Sci. Humanit. 2015, 1(3), 52-54. doi: 10.11648/j.ash.20150103.11

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    AMA Style

    Christian Rakotonirina. Groups of Rectangular Matrices from a Group of Square Matrices. Adv Sci Humanit. 2015;1(3):52-54. doi: 10.11648/j.ash.20150103.11

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      author = {Christian Rakotonirina},
      title = {Groups of Rectangular Matrices from a Group of Square Matrices},
      journal = {Advances in Sciences and Humanities},
      volume = {1},
      number = {3},
      pages = {52-54},
      doi = {10.11648/j.ash.20150103.11},
      url = {https://doi.org/10.11648/j.ash.20150103.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ash.20150103.11},
      abstract = {Extension of the usual matrix product has been defined in order that two any matrices have product. From a group of square matrices many groups of rectangular matrices for the extended product can be constructed. Then an example of a group of square matrices whose identity element is not the identity matrix has been given.},
     year = {2015}
    }
    

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