matrix - Arbitrary size matrices in maxima -


i want calculations matrices of arbitrary size. simple example - take 2 matrices nxm , mxk, arbitrary elements, , see element of product sum.

but cant find way such symbolic calculations without specifying matrix size integer.

matrix() want integer, makelist() want integer.

is there way things in maxima? or cas?

unfortunately, maxima not know arbitrary-size matrices, , don't see easy way implement it.

the way see define new kind of expression, , provide simplification rules operations on them. e.g. (and sketch of possible solution): use defstruct define structure comprising size , formula typical element, , define simplification rule "." (noncommutative multiplication) creates new expression typical element summation.


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