Some rank equalities about combinations of two idempotent matrices |
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Authors: | Kezheng Zuo |
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Institution: | 1.School of Mathematics and Statistics,Hubei Normal University,Huangshi,Hubei, China |
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Abstract: | The paper researches the rank of combinations a
PA + b
AQ-c
PAQ of two idempotent matrices P and Q. Using the properties of the idempotent matrix and elementary block matrix operation, we get some rank equalities for combinations
a
PA + b
AQ-c
PAQ of two idempotent matrices P and Q. These rank equalities generalize the results of Koliha J J, Rakočević V and Tian Y, and give some applications of the rank
equalities. |
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Keywords: | |
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