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Finding a normalized eigenvector

  1. Aug 16, 2008 #1


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    ok, i know how to find an eigenvalue and an eigenvector that's fine, what i dont remember is how to normalize your eigenvectors

    in my problem i have 2 eigenvectors, (1,3) and (3,1)

    (1,3) corresponds to eigenvalue 10

    (3,1) corresponds to eigenvalue 20

    in my notes i have written 'to normalize make equal to one and solve', of course this was about a month ago and i have completely forgotten what i meant by that.

    any help appreciated!
  2. jcsd
  3. Aug 16, 2008 #2


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    Usually, what is meant by "normalize" is to make the norm be 1, so you divide the vector by its length. Ie (1,3) normalized is (1, 3)/sqrt(10).
  4. Aug 16, 2008 #3
    Yes to normalise the eigenvector the modulus has to equal 1. So it would be 1/sqrt(1^2 + 3^2) and 3/sqrt(10)
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