Comment #8 on issue 3691 by [email protected]: Add determinant to matrix expressions
http://code.google.com/p/sympy/issues/detail?id=3691

Thanks, for your support because of it I have done it what you have told me to do.

from sympy import MatrixSymbol, Trace, eye
A = MatrixSymbol('A', 3, 3)
Det(A)
Det(A)

Det(eye(3))
1

I want to start working on doit method which algorithm for symbolic determinant should I use.Like to calculate determinant for explicit matrix there are bareis, berkowitz & lu_decomposition.

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