List questions from minimal-polynomials

Published on 13 Apr 2026 - 13:25

569

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To find the minimal polynomial $1+\sqrt 3$ over $\mathbb{Q}$

Published on 16 Apr 2026 - 5:37

184

Views

To find the degree of $\mathbb{Q}(\sqrt{5},i)/ \mathbb{Q}$

Published on 15 Apr 2026 - 23:28

65

Views

To show that $\mathbb{Q}(c)=\mathbb{Q}(d)$

Published on 16 Apr 2026 - 17:35

119

Views

Find a polynomial $f(x)$ with integer coefficients such that $f(\sqrt2+i)=0$

Published on 15 Apr 2026 - 22:23

97

Views

Find $[\mathbb{Q}({5}^{1/4}):\mathbb{Q}]$ and the minimal polynomial of a over Q.

Published on 15 Apr 2026 - 22:03

58

Views

Binary code over $F_8$

Published on 10 May 2026 - 12:29

711

Views

Find the minimal polynomial for the roots $\sqrt{2}$ and $\sqrt{3}$ over $\mathbb{Q}$.

Published on 17 Apr 2026 - 0:42

1.1k

Views

Similarity of nilpotent matrices under specific assumptions

Published on 10 May 2026 - 11:20

376

Views

Using Jordan Normal Form to determine when characteristic and minimal polynomials are identical

Published on 10 May 2026 - 15:00

448

Views

Relation between the minimal polynomials of $AB$ and $BA$

Published on 16 Apr 2026 - 14:52

82

Views

Characteristic infinite field

Published on 13 Apr 2026 - 5:19

67

Views

proof if $P(\alpha$)=0 and $\alpha^i\neq 1$ then $P$ is irreducible

Published on 15 Apr 2026 - 3:10

3.1k

Views

Compute minimal polynomial of a 4x4 matrix

Published on 12 Apr 2026 - 5:04

295

Views

Are there matrices such that $(AB-BA)^{71}=I_{69}$?

Published on 10 May 2026 - 18:04

List Question

Find the minimal polynomial of a root involving cubed roots

To find the minimal polynomial $1+\sqrt 3$ over $\mathbb{Q}$

To find the degree of $\mathbb{Q}(\sqrt{5},i)/ \mathbb{Q}$

To show that $\mathbb{Q}(c)=\mathbb{Q}(d)$

Find a polynomial $f(x)$ with integer coefficients such that $f(\sqrt2+i)=0$

Find $[\mathbb{Q}({5}^{1/4}):\mathbb{Q}]$ and the minimal polynomial of a over Q.

Binary code over $F_8$

Find the minimal polynomial for the roots $\sqrt{2}$ and $\sqrt{3}$ over $\mathbb{Q}$.

Similarity of nilpotent matrices under specific assumptions

Using Jordan Normal Form to determine when characteristic and minimal polynomials are identical

Relation between the minimal polynomials of $AB$ and $BA$

Characteristic infinite field

proof if $P(\alpha$)=0 and $\alpha^i\neq 1$ then $P$ is irreducible

Compute minimal polynomial of a 4x4 matrix

Are there matrices such that $(AB-BA)^{71}=I_{69}$?

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