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Eigenvectors, does order matter?

  1. Nov 5, 2012 #1
    I got 2 questions about eigenvectors.

    Let's say you have an eigenvector [1 0 2]^t.


    1. Does the order matter? Like can I change the order to [0 1 2]^t or [1 2 0]^t?


    2. It can be any scalar multiple of the vector right? Like I could have [2 0 4] or [4 0 8]
     
  2. jcsd
  3. Nov 5, 2012 #2

    Dick

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    Scalar multiples are still eigenvectors, sure. Show me why. Does order of the components in the vector matter? What would make you think it doesn't??
     
  4. Nov 6, 2012 #3

    HallsofIvy

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    The vector <1, 0, 0> is NOT the same as the vector <0, 1, 0> which appears to be what you are asking!
     
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