Question

Does this proof of "$AB$ and $BA$ have the same characteristic polynomial" assume $k$ algebraically closed?

score 67 · Answer 1 · 2026-03-22 09:03:20

67

Views

Does this proof of "$AB$ and $BA$ have the same characteristic polynomial" assume $k$ algebraically closed?

Published on 22 Mar 2026 - 9:03

score 22 · Answer 2 · 2026-03-21 21:06:05

22

Views

Explicit unique solution formula for linear constant coefficient recurrence relation depending on a parameter when eigenvalues change multiplicity

Published on 21 Mar 2026 - 21:06

score 105 · Answer 3 · 2026-03-22 06:09:32

105

Views

Minimal Polynomial Degree Inequality for Linear Operator and Its Square

Published on 22 Mar 2026 - 6:09

score 89 · Answer 4 · 2026-03-21 17:17:04

89

Views

Hyperbolic toral automorphism, periodic points and irreducibility of its characteristic polynomial.

Published on 21 Mar 2026 - 17:17

score 29 · Answer 5 · 2026-03-22 08:59:17

29

Views

Characteristic Polynomial not needing an Ordered Basis of Eigenvectors

Published on 22 Mar 2026 - 8:59

score 32 · Answer 6 · 2026-03-22 13:14:20

32

Views

Relation Between Elementary Operations, Similarity, and Characteristic Polynomial

Published on 22 Mar 2026 - 13:14

score 101 · Answer 7 · 2026-03-22 05:04:54

101

Views

Counting (0,1)-matrices with a given characteristic polynomial

Published on 22 Mar 2026 - 5:04

score 76 · Answer 8 · 2026-03-22 06:38:27

76

Views

Characteristic polynomial for a $4\times 4$ matrix

Published on 22 Mar 2026 - 6:38

score 32 · Answer 9 · 2026-03-21 22:00:46

32

Views

Cycles of a graph may determine the characteristic polynomial of the adjacency matrix.

Published on 21 Mar 2026 - 22:00

score 73 · Answer 10 · 2026-03-20 23:43:22

73

Views

Irreducible representation of the cyclic group over $\mathbb{Q}$

Published on 20 Mar 2026 - 23:43

score 52 · Answer 11 · 2026-03-22 15:56:48

52

Views

Finding all possible Jordan forms from the Characteristic polynomial

Published on 22 Mar 2026 - 15:56

score 58 · Answer 12 · 2026-03-21 17:53:02

58

Views

$\det(A-\lambda I)$ or $\det(\lambda I - A)$?

Published on 21 Mar 2026 - 17:53

score 149 · Answer 13 · 2026-03-21 23:25:39

149

Views

$Tr(A^k) = Tr(B^k)$

Published on 21 Mar 2026 - 23:25

score 35 · Answer 14 · 2026-03-22 10:41:20

35

Views

A doubt on existence of a linear tranformation with some property

Published on 22 Mar 2026 - 10:41

score 58 · Answer 15 · 2026-02-23 08:57:49

58

Views

Characteristic polynomial of convex combination

Published on 23 Feb 2026 - 8:57

List Question

Does this proof of "$AB$ and $BA$ have the same characteristic polynomial" assume $k$ algebraically closed?

Explicit unique solution formula for linear constant coefficient recurrence relation depending on a parameter when eigenvalues change multiplicity

Minimal Polynomial Degree Inequality for Linear Operator and Its Square

Hyperbolic toral automorphism, periodic points and irreducibility of its characteristic polynomial.

Characteristic Polynomial not needing an Ordered Basis of Eigenvectors

Relation Between Elementary Operations, Similarity, and Characteristic Polynomial

Counting (0,1)-matrices with a given characteristic polynomial

Characteristic polynomial for a $4\times 4$ matrix

Cycles of a graph may determine the characteristic polynomial of the adjacency matrix.

Irreducible representation of the cyclic group over $\mathbb{Q}$

Finding all possible Jordan forms from the Characteristic polynomial

$\det(A-\lambda I)$ or $\det(\lambda I - A)$?

$Tr(A^k) = Tr(B^k)$

A doubt on existence of a linear tranformation with some property

Characteristic polynomial of convex combination

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