The Constructions of Solutions of AX=B Linear Matrix Equations

Xiaoli Song · Journal of Qufu Normal University · 2010

Theory of linear matrix equations is one of the most important areas in matrix theory,which has wide applications in control systems and some other engineer areas.The necessary and sufficinet conditions are given to solve equations like AX=B in this article.Secondly the constructions of solutions of AX=0 and AX=B are discussed.Finally,the concrete solutions to solve equations like AX=B are given by using fundermental transformation of matrix.

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