Some considerations in relation to the matrix equation AXB=C

Details Some considerations in relation to the matrix equation AXB=C Some considerations in relation to the matrix equation AXB=C

2011-08-11

arxiv.org/abs/1108.2485v4

Mathematics

Rings and Algebras

Scientific paper

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, depending on the form of a particular solution $X_{0}$, both reproductive and non-reproductive solutions. Also, we consider applications of the concept of reproducibility for obtaining general solutions of some matrix systems.

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