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Symbolic Matrices


Greetings all,

I'm looking for a way to do symbolic matrix algebra, that is to state a 
symbol is a matrix of some dimension and have mathematica treat it as 
such, i.e. resolve products, sums, products with scalars etc. I'll give 
an example to what I mean, suppose A is a n by m matrix and B is a m by l 
matrix than:

C = A B

should define C as a n by l matrix and:

C = A + B

should return an error message concerning inappropriate dimensions.

Further if m11,m12,m21,m22, q11,q12,q21,q22 are all matrices with 
appropriate dimensions and:

m := {{m11,m12},{m21,m22}}
q := {{q11,q12},{q21,q22}}

than m q should produce the correct result (different from q m).

Is there any way to do that, or any package that can help me?

Guy







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