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Math Help - Problem With Complex Associated Eigenvector

  1. #1
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    Problem With Complex Associated Eigenvector

    This is a question on a quiz, so I'm not looking for the answer, just a pointer in the right direction.

    I have the following matrix:

    5 2
    -1 3

    I computed the characteristic polynomial and got the following eigenvalues:

    (i-4) and (i+4)

    Unfortunately, the matrix that I got by multiplying (i-4) by identity(3) and subtracting the original matrix reduces to identity(3) according to my calculator. (i+4) does the same.

    Can anyone help, or do I need to provide more information?
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  2. #2
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    Quote Originally Posted by dartmanx View Post
    This is a question on a quiz, so I'm not looking for the answer, just a pointer in the right direction.

    I have the following matrix:

    5 2
    -1 3

    I computed the characteristic polynomial and got the following eigenvalues:

    (i-4) and (i+4)

    Unfortunately, the matrix that I got by multiplying (i-4) by identity(3) and subtracting the original matrix reduces to identity(3) according to my calculator. (i+4) does the same.


    Uuh? What are you doing here? Do you mean (i\pm 4)\cdot 3I - A = 3I ?? And even if you get this, what are you doing it for?? What are you trying to achieve?

    Tonio

    Can anyone help, or do I need to provide more information?
    .
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