Comment #1 on issue 2231 by [email protected]: Matrix determinant properties
are not satisfied.
http://code.google.com/p/sympy/issues/detail?id=2231
>>> B = Matrix([[a,b],[c,d]])
Try to use `expand()` method after multiplication. For me:
In [14]: (B*B).det()
Out[14]: -2*a*b*c*d + a**2*d**2 + b**2*c**2
In [15]: B.det()*B.det()
Out[15]: (a*d - b*c)**2
In [16]: lhs = (B*B).det()
In [17]: rhs = B.det()*B.det()
In [18]: lhs
Out[18]: -2*a*b*c*d + a**2*d**2 + b**2*c**2
In [19]: rhs
Out[19]: (a*d - b*c)**2
In [20]: rhs.expand()
Out[20]: -2*a*b*c*d + a**2*d**2 + b**2*c**2
In [21]: rhs.expand() == lhs
Out[21]: True
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