What represent the eigenvector corresponding to eigenvalue

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Assuming we have two matrices A and B, when applying for generalized eigenvalue decomposition on (A,B), what is the difference between eigenvector corresponding to maximum eigenvalue and eigmenvector corresponding to minimum eigenvalue ?



I mean, do they represent the minimum difference between the two matrices A and B and the maximum difference between the two matrices A and B?



how is that?



thank you










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    up vote
    0
    down vote

    favorite












    Assuming we have two matrices A and B, when applying for generalized eigenvalue decomposition on (A,B), what is the difference between eigenvector corresponding to maximum eigenvalue and eigmenvector corresponding to minimum eigenvalue ?



    I mean, do they represent the minimum difference between the two matrices A and B and the maximum difference between the two matrices A and B?



    how is that?



    thank you










    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      Assuming we have two matrices A and B, when applying for generalized eigenvalue decomposition on (A,B), what is the difference between eigenvector corresponding to maximum eigenvalue and eigmenvector corresponding to minimum eigenvalue ?



      I mean, do they represent the minimum difference between the two matrices A and B and the maximum difference between the two matrices A and B?



      how is that?



      thank you










      share|cite|improve this question













      Assuming we have two matrices A and B, when applying for generalized eigenvalue decomposition on (A,B), what is the difference between eigenvector corresponding to maximum eigenvalue and eigmenvector corresponding to minimum eigenvalue ?



      I mean, do they represent the minimum difference between the two matrices A and B and the maximum difference between the two matrices A and B?



      how is that?



      thank you







      linear-algebra matrices






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Sep 2 at 6:30









      Zeyad_Zeyad

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