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Stuck with eigenvectors.

  1. Apr 6, 2005 #1
    The eigenvalues of the matrix [tex] \left(\begin{array}{cc}0 & \frac{1}{2}\\\frac{1}{2} & 0\end{array}\right) [/tex] are [itex] \lambda_1 = \frac{1}{2} [/itex] and [itex] \lambda_2 = -\frac{1}{2} [/itex]
    The problem here is that I have no idea of how to calculate the eigenvectors. Could some one please explain me, in detail, how do I find the eigenvectors?
    Thanks in advance.
     
  2. jcsd
  3. Apr 6, 2005 #2

    Hurkyl

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    To find the eigenvectors of the matrix A corresponding to the eigenvalue λ, you simply solve the equation Av = λv for v.
     
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