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Matrix computation over modulo N

Posted 4 months ago
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I am just starting with Mathematica. Is there an easy way to do matrix computations over the field Zn (1,2,...,n-1)? For example, I would like to find the eigensystem of a matrix M over Z5 or the reduced echelon form of a matrix over Z5. I know the functions Eigensystem[] and RowReduce[] but is there any way to add an argument so that I can obtain the results over the field Z5?

Thanks in advance

The documentation for RowReduce indicates quite clearly how to provide a modulus. Eigensystem does not accept a modulus; it is not obvious how to represent those eigenvalues that lie in an extension field of Z/<5>.

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