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ALGEBRA: Explicit Kernel Computation
Posted:
Jun 30, 1996 2:50 AM
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I'm looking for explicit references or algorithms (or, preferably,
something along the lines of 'It's obvious, do it like this') for the
following problem: I need to compute a basis for the kernel of a linear
transformation over Z/mZ, the integers mod m, where m is not prime
(specifically 8). It doesn't seem like it should be that hard, but I
haven't been able to puzzle out a solid (i.e. codable) procedure for it,
and ad hoc methods aren't feasible (some of the matrices I need to solve
are 99x50). A program like Maple can do it over a field, but chokes on
anything else. Can anyone point me in the right direction?
--
'Ever since the time I was laid up sick with nothing to read but the Carson
of Venus series by Edgar Rice Burroughs--well, let's just say it left a stain
on the ice-cream suit of my aesthetics. The dry cleaners can't remove that
stain, if you get my meaning, but I gotta wear *something* in public.'
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