Abstract: In this paper a matrix theorm is proved and two corollaries of it was given. On the above basis,a simpler proof of a equivalence theorm concerning dynamic equation equivalence and strict system equivalence is given. What is improtant is not the proof itself but a corollary obtained from the proof, for the corollary uncovers the real connection between the two sorts of equivalence, that is, the two seem not to be entirely equivalent. This allows the equivalence theorm to be stated in an exact form.