What is the easiest way to set up a vector of variables?

I have a linear algebra problem ( GF(2) )
and want to manipulate equations.
The matrix sizes are M x M with M = O(100).

The way I currently go about this is too much of a kludge
to even admit to!

Thank you for the great tool and support I have been getting!
-gerhard
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PS: the motivation for the question is that
I end up dumping out C code routines
by generating strings from the solution.
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