Thank you for the answer. I have version 5.24 and in fact this method
does not work (it returns the identity matrix).
I will update my version and try again.
Regards,
/Michele M./
Il 26/10/2013 11:45, Jan Hendrik Mueller ha scritto:
> I?ve had the same problem some time ago in classroom - some pupils
> asked me?try
>
> load(diag)$
> A:matrix([2, 0, 0], [0, 2, 0], [-1, 0, 3]);
> f(x):=x^^k$
> mat_function(f,A);
>
> AND: it is more or less self explaining (important in education :-))
> BUT: It works only with an actualized version of diag.mac since
> version 5.28.+
> see: http://sourceforge.net/p/maxima/bugs/2568/
> Jan
>
> Am 26.10.2013 um 11:07 schrieb Michele Minelli
> <micheleminelli1 at gmail.com <mailto:micheleminelli1 at gmail.com>>:
>
>> Hi, thank you but the result is not correct. In particular the
>> element (3,1). I think that your method raises each element to the
>> k-th power, while I want to raise the whole matrix by doing M*M*M*...
>> k times. Anyway never mind: thanks to this mailing list I was able to
>> solve my problem.
>> Thank you once again.
>> Regards,
>>
>> Michele M.
>>
>> Il 25/10/2013 20:16, Paul Bowyer ha scritto:
>>> On 10/25/2013 05:39 AM, Michele Minelli wrote:
>>>> Hello everyone,
>>>> is there a way to compute the k-th power of a matrix in a symbolic way?
>>>> For example if the matrix is [2, 0, 0], [0, 2, 0], [-1, 0, 3] it
>>>> should return [2^k, 0, 0], [0, 2^k, 0], [2^k-3^k, 0, 3^k].
>>>> Thank you.
>>>> Michele
>>>> _______________________________________________
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>>>> Maxima at math.utexas.edu <mailto:Maxima at math.utexas.edu>
>>>> http://www.math.utexas.edu/mailman/listinfo/maxima
>>>>
>>> In wxMaxima, I wrote:
>>> M:matrix([[2, 0, 0],[0, 2, 0],[1, 0, 3]]);
>>> (%o1) [[2,0,0],[0,2,0],[?1,0,3]]
>>>
>>> M2:M^k;
>>> (%o2) [[2^k,0,0],[0,2^k,0],[(?1)^k,0,3^k]]
>>>
>>> So it seems to be straight forward to apply arbitrary exponents.
>>>
>>> wxbuild_info()$
>>> wxMaxima version: 13.4.0 (compiled from source)
>>> Maxima version: branch_5_31_base_79_gf5e6d07
>>> Maxima build date: 2013-10-18 17:39:30
>>> Host type: x86_64-unknown-linux-gnu
>>> Lisp implementation type: SBCL
>>> Lisp implementation version: 1.1.12
>>>
>>> Respectfully,
>>>
>>> Paul Bowyer
>>
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>> http://www.math.utexas.edu/mailman/listinfo/maxima
>