The Group Involutory Matrix of the Combinations of Two Idempotent Matrices
We discuss the following problem: when aP+bQ+cPQ+dQP+ePQP+fQPQ+gPQPQ of idempotent matrices P and Q, where a,b,c,d,e,f,g∈ℂ and a≠0, b≠0, is group involutory.
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/504650 |
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| _version_ | 1832565046010445824 |
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| author | Lingling Wu Xiaoji Liu Yaoming Yu |
| author_facet | Lingling Wu Xiaoji Liu Yaoming Yu |
| author_sort | Lingling Wu |
| collection | DOAJ |
| description | We discuss the following problem: when aP+bQ+cPQ+dQP+ePQP+fQPQ+gPQPQ of idempotent matrices P and Q, where a,b,c,d,e,f,g∈ℂ and
a≠0, b≠0, is group involutory. |
| format | Article |
| id | doaj-art-a79f53fe8de246f4a3745ed57de5e29a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a79f53fe8de246f4a3745ed57de5e29a2025-02-03T01:09:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/504650504650The Group Involutory Matrix of the Combinations of Two Idempotent MatricesLingling Wu0Xiaoji Liu1Yaoming Yu2College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, ChinaCollege of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Mathematical Sciences, Monash University, Clayton Cambus, VIC 3800, AustraliaWe discuss the following problem: when aP+bQ+cPQ+dQP+ePQP+fQPQ+gPQPQ of idempotent matrices P and Q, where a,b,c,d,e,f,g∈ℂ and a≠0, b≠0, is group involutory.http://dx.doi.org/10.1155/2012/504650 |
| spellingShingle | Lingling Wu Xiaoji Liu Yaoming Yu The Group Involutory Matrix of the Combinations of Two Idempotent Matrices Journal of Applied Mathematics |
| title | The Group Involutory Matrix of the Combinations of Two Idempotent Matrices |
| title_full | The Group Involutory Matrix of the Combinations of Two Idempotent Matrices |
| title_fullStr | The Group Involutory Matrix of the Combinations of Two Idempotent Matrices |
| title_full_unstemmed | The Group Involutory Matrix of the Combinations of Two Idempotent Matrices |
| title_short | The Group Involutory Matrix of the Combinations of Two Idempotent Matrices |
| title_sort | group involutory matrix of the combinations of two idempotent matrices |
| url | http://dx.doi.org/10.1155/2012/504650 |
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