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Some considerations in relation to the matrix equation AXB=C 2014 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/5745 B. Radičić B. Malešević 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. article 10.1007/s00009-014-0421-2 11 3 841 856 1660-5446 Mediterranean Journal of Mathematics