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Eigen vector

  1. Dec 16, 2007 #1
    1. The problem statement, all variables and given/known data


    Use direct multiplication to show that for each of the following matrices A, the given vectors v1, v2, and v3 are eigenvectors of A and to find the eigen values lama1, lama2, and lama3 of A:

    A=top row: (2 -1 3) second row: (-1 6 -1) third row: (3 -5 2) v1=(1,0,-1) v2=(2,2,2), v3 =(7, -9,11)
    2. Relevant equations

    Plug the v's back into the A matrice

    3. The attempt at a solution

    Have no idea what they mean nor how to go about the direct multiplication here. Thanks What exactly do they want me to do???
     
  2. jcsd
  3. Dec 16, 2007 #2

    malawi_glenn

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    matrix * vector = eigenvalue * (same)matrix
     
  4. Dec 16, 2007 #3

    CompuChip

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    There's a minor (typo) error in there, see the correction in bold :smile:
     
  5. Dec 16, 2007 #4

    malawi_glenn

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    yeah LOL :)

    otherwise it would have been called eigenmatrix ;)
     
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