Question: Solving simultaneous equations

I have the following matrix solution problem. M * v = v where M is a square matrix (integer values). v is a vector of variables whose values I want to solve for. I cannot figure out how I can get Maple to do this. Do I need to use some other software? It seems to me that I should be able to obtain a soltion to the problem. Is there a reason why there may be no solution? Thanks.
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