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Simple Minimal Polynomial Question

Supposed we have something like Attachment 25627. 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.

Re: Simple Minimal Polynomial Question

Hey Hal2001.

What do the J's refer to? Are they Bessel functions?

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.