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Math Help - eigenvalues problem

  1. #1
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    eigenvalues problem

    How to get correct result as "lambda1 = 3 and lambda2 = 4" instead of the wrong result "lambda1 = 4 and lambda2 = 3" when factoring from the example below? Or the order of eigenvalues 1 and 2 are not important?
    thank you!


    Matrix A = 2 2
    -1 5
    .
    .
    .
    The characteristic equation of the matrix A is

    lambda^2 -7 lambda + 12 = 0 =>
    (lambda - 3)(lambda - 4) = 0

    The eigenvalues of the matrix A lambda1 = 3 and lambda2 = 4


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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by jasonmark View Post
    How to get correct result as "lambda1 = 3 and lambda2 = 4" instead of the wrong result "lambda1 = 4 and lambda2 = 3" when factoring from the example below? Or the order of eigenvalues 1 and 2 are not important?
    thank you!


    Matrix A = 2 2
    -1 5
    .
    .
    .
    The characteristic equation of the matrix A is

    lambda^2 -7 lambda + 12 = 0 =>
    (lambda - 3)(lambda - 4) = 0

    The eigenvalues of the matrix A lambda1 = 3 and lambda2 = 4


    The order of the eigenvalues shouldn't matter. I get the same thing you got.

    --Chris
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