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What's the effect of using modular counting in matrices?

  1. Sep 7, 2007 #1
    let's say for example, I am interested in using mod 2 integers ({0,1}) to get rid of certain coefficients. Now, I am most interested in eigenvalues. How will this affect my eigenvalues compared to the original matrix (normal counting)? Is there anyway I can "retrieve" the original eigenvalues?
     
  2. jcsd
  3. Sep 7, 2007 #2

    matt grime

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    Short answer, no.

    Your question is equivalent to asking can I recover the roots of P(x) from P(x) mod 2 where P is a polynomial (the characteristic one in this case).

    You can't do that.
     
  4. Sep 7, 2007 #3

    mathwonk

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    or can you recover an integer just from knowing whether it is even or not?
     
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