In this paper we represent a new form of condition for the consistency of the matrix equation AXB = C. If the matrix equation AXB = C is consistent, we determine a form of general solution which contains both reproductive and non-reproductive solutions. Also, we consider applications of the concept of reproductivity for obtaining general solutions of some matrix systems which are in relation to the matrix equation AXB = C.
机构:
South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R ChinaSouth Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China
Wu, Nian-Ci
Liu, Cheng-Zhi
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Hunan Univ Humanities Sci & Technol, Sch Math & Finance, Loudi 417000, Peoples R ChinaSouth Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China
Liu, Cheng-Zhi
Zuo, Qian
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Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaSouth Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China