If I have a minimal polynomial ( p irred) $\ p(x)^n $, for example $ (x^2+x+1)^3 $ a characteristic polynomial $ p(x)^2 $ , how can i get a simple basis using the rational theorem? i dont understand it
finding a simple basis, having the minimal and characteristic polynomial
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linear-algebra
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5It is difficult to understand what you are asking, really. – 2011-06-28
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0@Mariano: And it's impossible to have an operator with minimal polynomial equal to $(x^2+x+1)^3$ and characteristic polynomial equal to $(x^2+x+1)^2$. Presumably, he is asking about how to go about finding the rational canonical basis (or form), but it's pretty garbled. – 2011-06-28
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0A simple basis for...what? – 2011-06-29