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How to simplify transposed terms?


How could I tell MMA to simplify

Transpose[A*B] --->  Transpose[B]*Transpose[A]
Transpose[A+B] --->  Transpose[A]+Transpose[B]

And how could I declare 'A' as a matrix without giving values to it, so that
calculations like the 2 examples could be made. Of course they should be
a little more complicated ...

Tnx, 

	Bernd.








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