# NDSolve simple matrix problem in mathematica

I have a problem with command NDSolve in mathematica. If we have simple second order differential equation, it is easy to write code in mathematica. But if we have matrix problem (for example 4 unknown functions 4x1 matrix to display it) and also rather than simple constants, we have matrices 4x4. Can I type simple in matrix form this equation and then apply NDSolve without expanding the system. Short code attached here:

http://www.sendspace.com/file/trlx29

Kind regards and thank you in advance,

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