Question: How to solve a large number of linear equations in Maple?

I am trying to solve a linear system involving large number of equations with constant coefficients using Solve command from the LinearAlgebra package. The maple program is giving solutions for a smaller number of equations (T=10,Ne=20,Ng=15). But if I increase the number of equations to (T=20,Ne=30, Ng=25), then I got the error kernel connection has been lost. I need to increase the number of equations beyond this also. Any help to simplify the code or finding errors is appreciated.

solntosystem.mw

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