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Homework Help: I have a general question regarding eigenvalues/vectors. Say you are

  1. Nov 29, 2011 #1
    I have a general question regarding eigenvalues/vectors. Say you are working on a matrix
    [ 1, 1; 4, 1] and you find the eigenvalues to be 3 and -1.
    Does it matter which eigenvalue is first...meaning does it matter when it is λ1= 3 and λ2=-1 or the other way around?
    When you write out the general solution in the form of c1*e^-t[1, -2] + c2*e^3t[1, 2] , how do you know which eigenvalue is written first? In other words why can the general solution not be written as c1*e^3t[1, 2] + c2*e^-t[1, -2]?
     
  2. jcsd
  3. Nov 29, 2011 #2

    Dick

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    Re: Eigenvalues

    No. It doesn't matter at all.
     
  4. Nov 29, 2011 #3
    Re: Eigenvalues

    Thank you
     
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