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Math Help - Eigenvalues

  1. #1
    Junior Member
    Joined
    Dec 2009
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    Eigenvalues

    (Where A is 3 x 3 matrix ) If A =[1 0 0
    0 2a b
    0 b 2c]
    show that A has only real eigenvalues by finding explicitly the solutions of the characteristic equation.

    find the eigenvectors when
    i) a is not equal c and b is not equal 0

    ii)a=c and b is not equal to 0

    iii)a=c and b=0

    Can you show as much working as possible

    Im stuck when evaluating the determinant as the values of a and c are still involved
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  2. #2
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    Where are you stuck? What have you tried? It will be easier to help you if you tell us
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