$ \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\abs}[2][]{\left\lvert#2\right\rvert_{\text{#1}}} \newcommand{\ket}[1]{\left\lvert#1 \right.\rangle} \newcommand{\bra}[1]{\langle\left. #1\right\rvert} \newcommand{\braket}[1]{\langle #1 \rangle} \newcommand{\dd}{\text{d}} \newcommand{\dv}[2]{\frac{\dd #1}{\dd #2}} \newcommand{\pdv}[2]{\frac{\partial}{\partial #1}} $
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Let $P$ be the set of polynomials such that $P_T(T)=0$. Then $q(t)$ is the minimal polynomial of $T$ if $P_T(T)=q(T)\dot r(T)$ for some polynomial $r(T)$.

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Let $P$ be the set of polynomials such that $P_T(T)=0$. Then $q(t)$ is the minimal polynomial of $T$ if $P_T(T)=q(T)\dot r(T)$ for some polynomial $r(T)$.

Concepts

Coming soon

Used In

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Hypothesis

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Results

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FullPage
definition
concepts
used in
hypothesis
results
FullPage
definition
concepts
used in
hypothesis
results
Let $P$ be the set of polynomials such that $P_T(T)=0$. Then $q(t)$ is the minimal polynomial of $T$ if $P_T(T)=q(T)\dot r(T)$ for some polynomial $r(T)$.

Concepts

Coming soon

Used In

Coming soon

Hypothesis

Coming soon

Results

Coming soon
Let $P$ be the set of polynomials such that $P_T(T)=0$. Then $q(t)$ is the minimal polynomial of $T$ if $P_T(T)=q(T)\dot r(T)$ for some polynomial $r(T)$.

Concepts

Coming soon

Used In

Coming soon

Hypothesis

Coming soon

Results

Coming soon
FullPage
definition
concepts
used in
hypothesis
results