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Math Help - Simple Minimal Polynomial Question

  1. #1
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    Simple Minimal Polynomial Question

    Supposed we have something like Simple Minimal Polynomial Question-misc.png. How can we find the minimal polynomial of B?

    I know if we had say A=J_6(0) and B=A^2. Then the min poly of B would be m(x)=x^3. Since B^3=(A^2)^3.

    My concern with the first one is that we're not going to get a nice integer value. So would it be correct to say B^3=(A^6)^3*A^2... I'm a bit confused and could use some direction.
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  2. #2
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    Re: Simple Minimal Polynomial Question

    Hey Hal2001.

    What do the J's refer to? Are they Bessel functions?
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  3. #3
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    Re: Simple Minimal Polynomial Question

    Oops. Sorry, they are Jordan blocks. Got it now, was just mixing up the notation, so what I originally wrote was off. Thanks again.
    Last edited by Hal2001; November 10th 2012 at 08:36 PM.
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