alex wrote:
> yes, this is what i want !
> 
> BUT i cant compute the eigenvectors symbolically within SAGE.
> So for example
> 
> A.eigenvectors()
> 
> gives the error:
> AttributeError: 'sage.matrix.matrix_symbolic_dense.Matrix_symbolic_'
> object has no attribute 'eigenvectors'
> 
> how can i now compute those eigenvectors within SAGE or with the
> MAXIMA interface ?


Searching the google interface to sage-support for "symbolic 
eigenvectors" yields this message from a few days ago.  Right now, 
calculating eigenvectors of symbolic matrices is a bit different than 
other matrices; hopefully this will be corrected soon.


http://groups.google.com/group/sage-support/browse_thread/thread/4370a886918b0f14/a7578c228b204558?lnk=gst&q=symbolic+eigenvectors#a7578c228b204558

Thanks,

Jason




> Thank you very much !
> 
> ___________________________________________________
> On Mar 9, 6:48 pm, Robert Bradshaw <rober...@math.washington.edu>
> wrote:
>> On Mar 9, 2009, at 4:44 AM, David Joyner wrote:
>>
>>
>>
>>> On Sun, Mar 8, 2009 at 1:43 PM, alex
>>> <alessandro.bernardini.1...@gmail.com> wrote:
>>>> How can i compute the matrix multiplication (product) of two symbolic
>>>> matrices in sage ?
>>>> I have tried:
>>>> A = maxima("matrix ([a, b], [c, d])")
>>>> AI= A.invert()
>>>> and
>>>> A * AI
>>>> gives
>>>> matrix([a*d/(a*d-b*c),-b^2/(a*d-b*c)],[-c^2/(a*d-b*c),a*d/(a*d-b*c)])
>>> Do you want the following?
>>> sage: a,b,c,d = var("a,b,c,d")
>>> sage: A = matrix ([[a, b], [c, d]])
>>> sage: AI = A.inverse()
>>> sage: P = A*AI; P
>>> [a*d/(a*d - b*c) - b*c/(a*d - b*c)                                 0]
>>> [                                0 a*d/(a*d - b*c) - b*c/(a*d - b*c)]
>> sage: P.simplify_rational()
>>
>> [1 0]
>> [0 1]
> > 
> 


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