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.
Published in | Advances in Sciences and Humanities (Volume 1, Issue 3) |
DOI | 10.11648/j.ash.20150103.11 |
Page(s) | 52-54 |
Creative Commons |
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. |
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Copyright © The Author(s), 2015. Published by Science Publishing Group |
Rectangular Matrices, Usual Product of Matrices, Extended Product of Matrices, Groups
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APA Style
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
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
@article{10.11648/j.ash.20150103.11, 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://article.sciencepublishinggroup.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} }
TY - JOUR T1 - Groups of Rectangular Matrices from a Group of Square Matrices AU - Christian Rakotonirina Y1 - 2015/10/15 PY - 2015 N1 - https://doi.org/10.11648/j.ash.20150103.11 DO - 10.11648/j.ash.20150103.11 T2 - Advances in Sciences and Humanities JF - Advances in Sciences and Humanities JO - Advances in Sciences and Humanities SP - 52 EP - 54 PB - Science Publishing Group SN - 2472-0984 UR - https://doi.org/10.11648/j.ash.20150103.11 AB - 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. VL - 1 IS - 3 ER -