Groups of Rectangular Matrices from a Group of Square Matrices
Advances in Sciences and Humanities
Volume 1, Issue 3, December 2015, Pages: 52-54
Received: Aug. 25, 2015;
Accepted: Oct. 14, 2015;
Published: Oct. 15, 2015
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Christian Rakotonirina, Department of Civil Engineering, Institut Supérieur de Technologie d'Antananarivo (IST-T), Antananarivo, Madagascar
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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.
Rectangular Matrices, Usual Product of Matrices, Extended Product of Matrices, Groups
To cite this article
Groups of Rectangular Matrices from a Group of Square Matrices, Advances in Sciences and Humanities.
Vol. 1, No. 3,
2015, pp. 52-54.
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.
D. Berenstein, “A Matrix Model for a Quantum Hall Droplet with manifest Particle-hole Symmetry”, Phys. Rev. D71, 085001,(2005).
M. Srednicki, “A new Construction of the Penner Model”, Mod. Phys.Lett.A07,2857-2860,(1992), DOI:10.1142/S0217732392 004237.
S. Majid, “On the Addition of Quantum Matrices”, Journal of Mathematical Physics 08, (1993), DOI:10.1063/1.530527.