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{{Technical|date=December 2018}}
In [[control theory]], the '''state-transition matrix''' is a matrix whose product with the [[state vector]] <math>x</math> at an initial time <math>t_0</math> gives <math>x</math> at a later time <math>t</math>. The state-transition matrix can be used to obtain the general solution of linear dynamical systems.
==Linear systems solutions==
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