本文先简要介绍了矩阵的积分和微分的定义；接着通过弹簧-质量块儿-阻尼器系统的例子，阐述了求解常微分方程数值解的常用方法；最后，在前两部分的基础上，总结了用MATLAB求解形如_X(t) = f(X(t); t) 矩阵微分方程数值解的方法。(In this paper, the definition of integral and differential of matrix is briefly introduced. Then the common method of solving numerical solution of ordinary differential equation is described by the example of spring mass block damper system. Finally, on the basis of the first two parts, the solution of the form of _X is summed up by MATLAB.　　　　　　(T) = f (X (T); t) numerical solution of matrix differential equations.)