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A rational matrix such that $A^{2017}=I_n$

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#linear-algebra #matrices #eigenvalues-eigenvectors #minimal-polynomials
605
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Proving $Gal(K/\mathbb{Q})$ is $D_4$.

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#field-theory #galois-theory #minimal-polynomials #splitting-field
702
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Proving a Galois Group is isomorphic to $D_4$

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#field-theory #galois-theory #minimal-polynomials #splitting-field
77
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Matrix - charpoly, minpoly and diagonalization

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#linear-algebra #diagonalization #minimal-polynomials
499
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How to prove a matrix is invertible given a polynomial that annihilates it?

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#linear-algebra #matrices #minimal-polynomials #cayley-hamilton
1.9k
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Minimum polynomial of a root involving the 7th root of unity

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#field-theory #roots #roots-of-unity #minimal-polynomials
44
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What can we say about the minimal polynomial over a field $\mathbb{F}$

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#linear-algebra #abstract-algebra #matrices #minimal-polynomials
49
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To find the minimal polynomial and to show that (1-i) is an associate of (1+i) in given set

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#minimal-polynomials #algebraic-numbers
875
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Show that $A$ is a scalar matrix $kI$ if and only if the minimum polynomial of $A$ is $m(t) = t - k$.

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#linear-algebra #matrices #minimal-polynomials
353
Views

Possible Jordan Normal Forms

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#linear-algebra #jordan-normal-form #minimal-polynomials
527
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Prove $V$ is a cyclic $F[A]$ module $\iff$ it has the same characteristic and minimal polynomials

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#linear-algebra #abstract-algebra #matrices #modules #minimal-polynomials
2.1k
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Determine Minimal Polynomial of Primitive 10th Root of Unity

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#minimal-polynomials #cyclotomic-polynomials #cyclotomic-fields #galois-extensions
2.4k
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Irreducible factors of characteristic polynomial and minimal polynomial are same?

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#linear-algebra #irreducible-polynomials #minimal-polynomials
298
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How to find Jordan blocks from minimal polynomial

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#jordan-normal-form #minimal-polynomials
812
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$T$-annihilators divide minimal polynomial of a linear operator $T$

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#linear-algebra #linear-transformations #minimal-polynomials

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