New posts in minimal-polynomials

Minimal polynomial of product, sum, etc., of two algebraic numbers

polynomials algebraic-number-theory irreducible-polynomials minimal-polynomials

Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem

linear-algebra modules alternative-proof minimal-polynomials

What are some meaningful connections between the minimal polynomial and other concepts in linear algebra?

linear-algebra polynomials operator-theory linear-transformations minimal-polynomials

Prove $f(x)=x^8-24 x^6+144 x^4-288 x^2+144$ is irreducible over $\mathbb{Q}$

irreducible-polynomials minimal-polynomials splitting-field

Minimal polynomial of an algebraic number expressed in terms of another algebraic number

abstract-algebra polynomials algebraic-number-theory minimal-polynomials

Minimal polynomial of $\sqrt[3]{2} + \sqrt{3}$

abstract-algebra extension-field irreducible-polynomials minimal-polynomials

Minimal polynomial of diagonalizable matrix

matrices diagonalization minimal-polynomials

What comes after $\cos\left(\tfrac{2\pi}{7}\right)^{1/3}+\cos\left(\tfrac{4\pi}{7}\right)^{1/3}+\cos\left(\tfrac{6\pi}{7}\right)^{1/3}$?

trigonometry radicals cyclotomic-polynomials minimal-polynomials

Roots of minimal and characteristic polynomials

matrices polynomials roots minimal-polynomials characteristic-polynomial

Are two matrices having the same characteristic and minimal polynomial always similar?

linear-algebra matrices minimal-polynomials

Why does the largest Jordan block determine the degree for that factor in the minimal polynomial?

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

Can you find a matrix by its minimal and characteristic polynomials?

linear-algebra matrices minimal-polynomials characteristic-polynomial

Show that the minimal polynomial of $T:\mathbb{K}^n \mapsto \mathbb{K}^n$ remains the same over field extension

linear-algebra linear-transformations minimal-polynomials

Sums and products of algebraic numbers

abstract-algebra field-theory minimal-polynomials

Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$

abstract-algebra field-theory galois-theory minimal-polynomials

Does every linear operator have a minimal polynomial?

linear-algebra minimal-polynomials

$f(x) $ be the minimal polynomial of $a$ (algebraic element) over $\mathbb Q$ , let $b=f'(a) \in \mathbb Q(a)$ , then is $\mathbb Q(a)=\mathbb Q(b)$?

ring-theory field-theory extension-field minimal-polynomials

Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.

polynomials field-theory minimal-polynomials

Constructing the 11-gon by splitting an angle in five

trigonometry algebraic-geometry polynomials polygons minimal-polynomials

Minimal polynomials and characteristic polynomials [duplicate]

linear-algebra matrices eigenvalues-eigenvectors minimal-polynomials characteristic-polynomial