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Given degree 3 minimal polynomial of $\alpha$, find minimal polynomial of $\frac{\alpha^2 + \alpha}{2}$

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#polynomials #field-theory #irreducible-polynomials #minimal-polynomials
96
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$A+3I$ is nonsingular

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#linear-algebra #inverse #minimal-polynomials
58
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A minimal polynomial problem that's bothering me

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#abstract-algebra #polynomials #field-theory #irreducible-polynomials #minimal-polynomials
770
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Is there a notion of minimal polynomial if the ring is not a field?

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#abstract-algebra #ring-theory #field-theory #extension-field #minimal-polynomials
517
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minimum polynomial definition

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#definition #minimal-polynomials
823
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Given the characteristic polynomial, find the minimal polynomial.

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#linear-algebra #matrices #minimal-polynomials
45
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What is the minimial polynomial of $1+(v_{p_i}(p_j-1))_{1 \le i,j \le n}$?

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#sequences-and-series #matrices #prime-numbers #minimal-polynomials
213
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Prove that characteristic polynomial = minimal polynomial

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#linear-algebra #minimal-polynomials #cayley-hamilton
245
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Prove that $m(x)$ is is the minimum polynomial of $\alpha$ over $K$ ff $m(x)$ is irred in $K[x]$

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#proof-verification #irreducible-polynomials #minimal-polynomials
199
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what's the most efficient way to find the minimal polynomial of a matrix?

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#matrices #field-theory #jordan-normal-form #minimal-polynomials
140
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Help finding the minimal polynomial of $\beta$ over $GF(19)$

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#field-theory #finite-fields #extension-field #minimal-polynomials
94
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Finding the minimal polynomial of $2\sqrt[3]{3}+\sqrt[3]{4}$ in the most efficient way .

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#algebra-precalculus #polynomials #field-theory #minimal-polynomials
298
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Check irreducibility of the polynomial

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#abstract-algebra #polynomials #minimal-polynomials
1.1k
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Minimal polynomial of $\sqrt{\sqrt[3]{7}-5}$

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#abstract-algebra #field-theory #extension-field #minimal-polynomials
169
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Jordan form of $15 \times 15$ matrix

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#linear-algebra #jordan-normal-form #minimal-polynomials

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