(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given the matrix:

0 1 0

0 0 1

12 8 -1

(sorry I don't know how to put proper matrix format)

a) find polynomials a(λ)(λ+2)^{2}+b(λ)(λ-3) = 1 (where a(λ) and b(λ) are the polynomials)

3. The attempt at a solution

Well the characteristic polynomial is already given, but can easily be found, as

(λ+2)^{2}(λ-3)

but how do I find such polynomials? Is this what is meant by the minimal polynomial?

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# Characteristic/Minimal polynomials - Linear Algebra question

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