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Math Help - Eigenvectors

  1. #1
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    Eigenvectors

    I've calculated the following eigen value and determined the following matrix:

    eigenvalue, U= -5


    Original matrix
    ([-5-U] 2 -3)
    (0 [1-U] -2)
    (0 1 [4-U])

    Solved Matrix:

    (0 0 28)0
    (0 3 -1)0
    (0 0 0) 0

    I'm not exactly clear on how to determined the eigenvector
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  2. #2
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    Quote Originally Posted by jschlarb View Post
    I've calculated the following eigen value and determined the following matrix:

    eigenvalue, U= -5


    Original matrix
    ([-5-U] 2 -3)
    (0 [1-U] -2)
    (0 1 [4-U])

    Solved Matrix:

    (0 0 28)0
    (0 3 -1)0
    (0 0 0) 0

    I'm not exactly clear on how to determined the eigenvector
    Solve MX = -5X for X, where M is the given matrix and X = [x, y, z]^T is the eigen vector.

    You should get x = t, y = z = 0. So the eigenvector corresponding to the eigenvalue u = -5 is [1, 0, 0]^T.
    Last edited by mr fantastic; July 1st 2008 at 09:04 PM. Reason: Gave the answer.
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    Solve MX = -5X for X, where M is the given matrix and X = [x, y, z]^T is the eigen vector.
    I should have added that there are two other eigenvalues: u = 2 and u = 3 ......
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