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Math Help - Eigenvalues of a skew symmetric matrix

  1. #1
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    Eigenvalues of a skew symmetric matrix

    The eigenvalues of a real skew symmetric matrix can be zero or imaginary. I figured out that they can be zero but i can't figure out, how can they be imaginary ? I don't know why, the idea doesn't seem to fit in my head even though it is true.
    If someone could explain this to me it would be a great help.


    Thanks in advance.
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  2. #2
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    Re: Eigenvalues of a skew symmetric matrix

    Quote Originally Posted by mrmaaza123 View Post
    The eigenvalues of a real skew symmetric matrix can be zero or imaginary. I figured out that they can be zero but i can't figure out, how can they be imaginary ? I don't know why, the idea doesn't seem to fit in my head even though it is true.
    If someone could explain this to me it would be a great help.


    Thanks in advance.
    I think there's a good proof of this in page 6-14 of this document(btw, this lecture note is great )
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