Reproductive and non-reproductive solutions of the matrix equation AXB=C

Publication date: 24 August 2011

Abstract: In this article we consider a consistent matrix equation

A X B = C

when a particular solution

X_{0}

is given and we represent a new form of the general solution which contains both reproductive and non-reproductive solutions (it depends on the form of particular solution

X_{0}

). We also analyse the solutions of some matrix systems using the concept of reproductivity and we give a new form of the condition for the consistency of the matrix equation

A X B = C

.

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