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I have a 6x6 matrix that depends on 8 parameters, M(F) (F is an 8-dim array, say...), and I want to compute the eigenvalues of this matrix both at a fixed point F_0 and at some other arbitrary point F'. The problem is that I need to make sure the ordering of the Eigenvalues remains the same at these two points, so that if I'd go continuously from F_0 to F' the eigenvalues would go continuously from Eigenvalues(M(F_0)) to Eigenvalues(M(F')), without any flip in the order of the entries.
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Dear All,
I am trying to find (complex) eigenvalues and eigenvectors of a matrix as a function of a variable. Using the following commands lead to the respective errors:
- LinearAlgebra[Eigenvalues](A): Error, (in content/polynom) general case of floats not handled
- LinearAlgebra[Eigenvectors](A): Error, (in LA_Main:-Eigenvectors) cannot determine if this expression is true or false: 0.2480392156e-4*abs...
Hi, I have a matrix D which is a 33x33 matrix. I find the eigenvector using "Eigenvectors(D)". It gives me the eigenvalue together with the eigenvector. Then, i want to multiply the eignevector with another 33x33 matrix. How can I get the eigenvector without the eigenvalues attached to it? please advice.
Many thanks.
[A]+[B] N+[C] N^(2)+[D] N^(3)+...N^(8)
[A],[B],[C],[D],... is known 8*8 matrix ;
how to find Eigenvalues and Eigenvectors and N?
eig([A],[B],[C],[D],...) ?!?!?
Help!
I've used Eigenvectors to solve for eigenvalues & eigenvectors. Eigenvalues works, no problem.
The eigenvectors are not normalized to unit magnitude (how would I do that for all eigenvectors?) and the usual matrix multiplication of the eigenmatrix by its transpose should give the identity matrix--and somehow it does not.
Can someone point out the flaw in my thinking? The file is attached.
Thanks for you insight!
Thank you for suggestions. The system in matrix form looks like z(k+1)=Az(k). The solution to that is z(k)=A^kz(0). Now, phase planes of the system would look different for different matrix A (specifically, eigenvalues of A). For example, for complex eigenvalues phase plane would look like a spiral. I'm having difficulties plotting those phase planes. It's easy for differential equation, but I'm not sure how to work with system of difference equation in Maple.
I am computing eigenvalues of a 3X3 square Matrix that contains symbolic elements and many zeros. There are 2 zero eigenvalues and 1 non-zero. I'd like to request Maple to order the eigenvalues in a certain way, with the non-zero eigenvalue first. Oddly, the command LinearAlgebra:-Eigenvectors(A); orders them in a seemingly random way, with the non-zero eigenvalue either first or last, never in the middle. The LinearAlgebra:-Eigenvalues(A); commands seems...
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How to find with Maple all symmetric matrices of size 5, whose entries are 0,1, having only strictly positive eigenvalues?
Hello.
Does anybody know how precise the eigenvalues (or the eigenvectors) of some Matrix are (when I use Eigenvalues(Matrix))?
Let's assume Digits=15. Can I have any certainty that the computed eigenvalues are precise to some (15??) digits?
I don't know how Maple computes them but if I suppose several (many) arithmetic operations then the error can move "upward".
Am I wrong? Thank you for all your suggestions.
