... a critical clause was missing from my last email:
The matrix is of the form M=k*N, where k is a scalar *variable, and N is
numeric.*
On Sun, Jul 28, 2013 at 6:38 PM, Stavros Macrakis <macrakis at alum.mit.edu>wrote:
> The matrix is of the form M=k*N, where k is a scalar. It follows directly
> from the definition of eigenvalues that the eigenvalues of M are k times
> the eigenvalues of N.
>
> And it is easy to find the eigenvalues of an arbitrary-size numerical
> matrix or equivalently the roots of an arbitrary-degree polynomial.
>
> -s
>
>
> On Sun, Jul 28, 2013 at 4:57 PM, Barton Willis <willisb at unk.edu> wrote:
>
>> To print the matrix in a form that is easier to copy and paste, set
>> display2d to false; for example
>>
>> (%i6) display2d : false$
>> (%i7) matrix([1,3],[3,5]);
>> (%o7) matrix([1,3],[3,5])
>>
>> I'd also suggest that you not apply float to the matrix--post it to this
>> list without using float.
>>
>> --Barton
>>
>> ________________________________________
>> From: maxima-bounces at math.utexas.edu [maxima-bounces at math.utexas.edu] on
>> behalf of Yury Tarasievich [yury.tarasievich at gmail.com]
>> Sent: Sunday, July 28, 2013 14:37
>> To: maxima at math.utexas.edu
>> Subject: Re: [Maxima] eigenvalues, part: fell off the end
>>
>> It so happens there already is an active ticket
>> for the 'unsolvable eigenvalues 10x10', #2183
>> (issued by you, I think).
>>
>> And I don't know Maxima well enough yet to
>> produce an input from matrix I fill in my
>> program. The result of print(float(opH)) with
>> empty lines removed is:
>>
>> [ 0.0 0.0 0.0 0.0 0.0
>> 0.0 0.0 0.0 0.0
>> 0.0 ]
>> [ 0.0 - 1055.2 A 18.0 A 18.0 A 18.0 A
>> 0.0 0.0 0.0 0.0
>> 0.0 ]
>> [ 0.0 18.0 A - 929.6 A 18.0 A 18.0 A
>> 18.0 A 0.0 0.0 0.0
>> 0.0 ]
>> [ 0.0 18.0 A 18.0 A - 804.0 A 18.0 A
>> 18.0 A 18.0 A 0.0 0.0
>> 0.0 ]
>> [ 0.0 18.0 A 18.0 A 18.0 A - 678.4
>> A 18.0 A 18.0 A 18.0 A 0.0
>> 0.0 ]
>> [ 0.0 0.0 18.0 A 18.0 A 18.0 A
>> - 678.4 A 18.0 A 18.0 A 18.0 A
>> 0.0 ]
>> [ 0.0 0.0 0.0 18.0 A 18.0 A
>> 18.0 A - 678.4 A 18.0 A 18.0 A
>> 18.0 A ]
>> [ 0.0 0.0 0.0 0.0 18.0 A
>> 18.0 A 18.0 A - 804.0 A 18.0 A
>> 18.0 A ]
>> [ 0.0 0.0 0.0 0.0 0.0
>> 18.0 A 18.0 A 18.0 A - 929.6 A
>> 18.0 A ]
>> [ 0.0 0.0 0.0 0.0 0.0
>> 0.0 18.0 A 18.0 A 18.0 A
>> - 1055.2 A ]
>>
>> -Yury
>> _______________________________________________
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>> Maxima at math.utexas.edu
>> http://www.math.utexas.edu/mailman/listinfo/maxima
>>
>>
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>>
>
>