f(t)=t^n+a_n-1t^(n-1)+...+a1t+a0(adsbygoogle = window.adsbygoogle || []).push({});

there's a square matrix of order n, A:

[tex]\bordermatrix{ & & & & \cr 0 & 0 & ... & 0& -a_0 \cr 1 &0 & ... & 0 & -a_1 \cr ... & ... & ... & ... & ... \cr 0 & 0 & ... & 1 & -a_{n-1}\cr}[/tex]

show that f(t) is the minimal polynomial of A.

i know that f(t) is m.p when f(A)=0, or perhaps all that i should prove here, is that f(t) divides the charectraistic polynomial of A?

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# A question on minimal polynomial (LA)

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