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Some considerations in relation to the matrix equation AXB=C (1108.2485v7)
Published 11 Aug 2011 in math.RA
Abstract: 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.