Results 1 to 1 of 1

Thread: Generalized eigenvector?

  1. May 13th 2009, 02:27 PM #1
    cubrikal
    cubrikal is offline
    Newbie
    Joined
    Apr 2009
    Posts
    17

    Generalized eigenvector?

    The problem I'm doing asks me to solve the normal system x'=Ax, but A is an unknown 2x2 matrix. However, I'm given some initial values and:

    <br /> A \left(\begin{array}{r}-1\\4\end{array}\right) = -4 \left(\begin{array}{r}-1\\4\end{array}\right)<br />

    OK, I know this says -4 is an eigenvalue with corresponding eigenvector (-1,4)

    <br /> A \left(\begin{array}{r}0\\1\end{array} \right) = -4 \left(\begin{array}{r}0\\1\\\end{array} \right)<br /> + \left( \begin{array}{r}-1\\4\end{array}\right)<br />

    But I'm not sure what to make of this.

    My current approach is to find e^{At} so I need a second, maybe generalized? eigenvector and corresponding eigenvalue.

    edit: Never mind, I figured I can just solve for A
    Attached Thumbnails Attached Thumbnails Generalized eigenvector?-question-4.jpg  
    Last edited by cubrikal; May 13th 2009 at 09:55 PM. Reason: solved
    Follow Math Help Forum on Facebook and Google+
« Minimum polynomial | projective, module homomorphism »

Similar Math Help Forum Discussions

  1. Finding an eigenvector of a symmetric matrix given another eigenvector
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: April 11th 2011, 12:18 PM
  2. [SOLVED] Generalized integral
    Posted in the Calculus Forum
    Replies: 5
    Last Post: September 16th 2010, 03:45 AM
  3. Help with a Generalized integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 9th 2009, 08:14 PM
  4. generalized eigenvector
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: November 22nd 2008, 07:30 PM
  5. Generalized Mean Value Theorem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 28th 2006, 07:51 AM

Search Tags


/mathhelpforum @mathhelpforum