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Compute the Eigenvalues and Eigenvectors

  1. Sep 20, 2011 #1
    1. The problem statement, all variables and given/known data

    Compute the Eigenvalues and Eigenvectors of A
    A= [0 0 1;0 2 0;3 0 0]


    2. Relevant equations

    |A-lamda*I|=0
    where I know the lamdas and plug them into the above equation and expand the system of equations.

    3. The attempt at a solution

    I have solved for the eigenvalues and got +sqrt(3), -sqrt(3) and 2.
    I have solved for the eigenvectors associated with +sqrt(3), -sqrt(3), and checked them in matlab.
    For lamda (eigenvalue) of sqrt(3) the eigenvector is
    [ 1;0;sqrt(3)]

    For lamda (eigenvalue) of -sqrt(3) the eigenvector is
    [ -1;0;sqrt(3)]

    But for when the eigenvalue is equal to 2 I come up to problems. where the 2nd row of my matrix is all zeroes. This confuses me because I have checked the vector in matlab and know it should be [0;1;0]. Which is impossible based on the 2nd row being all zeroes.
     
  2. jcsd
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