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wolfram-mathematicaeigenvector

Generalized Eigenvalue in Mathematica


I am trying to solve a generalized eigenvalue problem with Mathematica. I want to find the eigenvalues and eigenvectors of the matrix A with respect to B. But when I use Eigensystem I receive the following error.

A = {{1, 2, 3}, {3, 6, 8}, {5, 9, 2}}
B = {{3, 5, 7}, {1, 7, 9}, {4, 6, 2}}
Eigensystem[{A, B}]

Eigensystem::exnum: Eigensystem has received a matrix with non-numerical or exact 
elements. >>

What should I do?


Solution

  • Well, as for what you can, you can throw an N[] there.

    As why you get the error you do, I am not sure now. may be someone else knows.

    A={{1,2,3},{3,6,8},{5,9,2}};
    B={{3,5,7},{1,7,9},{4,6,2}};
    Eigensystem[{N@A,N@B}]
    
    Out[48]= {{1.6359272851306594,0.52597489217711,0.011174745769153706},
     {{0.0936814383974197,0.7825455672726674,-0.6155048523299302},
     {-0.8489102791046691,0.3575364071543101,0.389254486922913},
     {0.8701002165041747,-0.4913210011447429,0.03910610020848224}}}