Hi all,

Recently I got to work some more with the matrices module (rref,
jordan form for the ODE solver and various coordinate related
transformations for the diffgeom module).

The current approach to the issue of Matrix not being a Basic subclass
is to use another class called ImmutableMatrix. There is one big
drawback in this approach among all its advantages: Interaction
between matrices frequently requires rebuilding of the matrix.

For instance, imagine a ref method that is used inside the rref method
that is used inside the particular_solution method. If they are called
on a mutable matrix they must create a copy of this matrix and work on
it and then return it. So far so good, however if they are called on
an immutable matrix at the end of each method there is an addition
rebuild operation, this time transforming the intermediate mutable
matrix into an immutable one.

Do you think that this is appropriate and worth the cost? Now that we
have used both Mutable and ImmutableMatrix for some time, do you think
that merging them is possible? Obviously, this again brings up the
issue of mutable Basic objects, however this should not be such a big
problem if the hashes are calculated properly and if it is well
documented.

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