List questions from companion-matrices

Published on 16 Apr 2026 - 19:18

707

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Quick way of showing an $n\times n$ Jordan block associated to $1$ is similar to the companion matrix of $(x-1)^n$

Published on 15 Apr 2026 - 22:51

1.2k

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How do iterative methods applied to the companion matrix of a polynomial $p(\lambda)$ relate to $p$ itself?

Published on 11 Apr 2026 - 1:50

18.7k

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Characteristic polynomial of companion matrix

Published on 26 Mar 2026 - 1:28

318

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Why does counting companion matrices count conjugacy classes?

Published on 16 Apr 2026 - 21:30

1.8k

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Showing companion matrix is similar to Jordan block using Jordan-Chevalley decomposition

Published on 12 Apr 2026 - 12:54

1.4k

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Eigenspace of the companion matrix of a monic polynomial

Published on 11 Apr 2026 - 21:26

14.6k

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Find the roots of a polynomial using its companion matrix

Published on 17 Apr 2026 - 0:43

1.7k

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When is a matrix similar to the companion matrix of its characteristic polynomial?

Published on 25 Mar 2026 - 16:13

1.8k

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Finding determinant for characteristic polynomial

Published on 10 Apr 2026 - 23:15

31

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Characteristic polynomial $p(x) = (2 + x) (-x) (1-x)$ and possible matrices problem

Published on 26 Mar 2026 - 1:29

46

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Trying to determine the determinant of an abstract matrix

Published on 26 Mar 2026 - 1:34

114

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Companion Matrix of first degree monomial $x$

Published on 26 Mar 2026 - 1:35

172

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Similarity to companion matrix, uniqueness

Published on 25 Mar 2026 - 19:04

189

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Is the auxiliary equation of a differential equation related to characteristic polynomial for matrix eigenvalues?

Published on 26 Mar 2026 - 1:34

List Question

The characteristic and minimal polynomial of a companion matrix

Quick way of showing an $n\times n$ Jordan block associated to $1$ is similar to the companion matrix of $(x-1)^n$

How do iterative methods applied to the companion matrix of a polynomial $p(\lambda)$ relate to $p$ itself?

Characteristic polynomial of companion matrix

Why does counting companion matrices count conjugacy classes?

Showing companion matrix is similar to Jordan block using Jordan-Chevalley decomposition

Eigenspace of the companion matrix of a monic polynomial

Find the roots of a polynomial using its companion matrix

When is a matrix similar to the companion matrix of its characteristic polynomial?

Finding determinant for characteristic polynomial

Characteristic polynomial $p(x) = (2 + x) (-x) (1-x)$ and possible matrices problem

Trying to determine the determinant of an abstract matrix

Companion Matrix of first degree monomial $x$

Similarity to companion matrix, uniqueness

Is the auxiliary equation of a differential equation related to characteristic polynomial for matrix eigenvalues?

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