List questions from jordan-normal-form

Published on 22 Mar 2026 - 11:59

156

Views

$ \exists \ g \in \mathcal{L}(E)$ s.t. $g^2 = f \ \iff \forall \ k$, $\dim \ker(f-aId)^k$ is even

Published on 22 Mar 2026 - 6:22

38

Views

Relation between left and right Jordan forms

Published on 20 Mar 2026 - 9:55

830

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About Matrix function on Jordan normal form

Published on 22 Mar 2026 - 5:29

179

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Generalized Eigenvectors when algebraic multiplicity greater than 1

Published on 20 Mar 2026 - 12:04

489

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Commutativity and Jordan Decomposition

Published on 22 Mar 2026 - 10:34

61

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Jordan forms associated with characteristic polynomials and minimal polynomials

Published on 19 Mar 2026 - 19:26

86

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Jordan's Canonical Form of a Matrix

Published on 19 Mar 2026 - 22:03

311

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$3 \times 3$-matrices with the same characteristic polynomials and minimal polynomials that are not similar

Published on 20 Mar 2026 - 1:49

119

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Jordan form of a matrix confusion

Published on 20 Mar 2026 - 0:18

36

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Is it true that there are $a \in \mathbb{R}$, $k \in \mathbb{N}$, $k>0$ such $(A+aI_4)^k=0$

Published on 19 Mar 2026 - 20:45

48

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Trace of $(A-2I_4)^{10}+(A+I_4)^7$

Published on 20 Mar 2026 - 3:46

2.5k

Views

All possible Jordan normal forms with a given minimal polynomial

Published on 24 Mar 2026 - 19:08

29

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Connections between Jordan forms and Original Matrices

Published on 20 Mar 2026 - 15:14

112

Views

Minimal Polynomial and Jordan Basis

Published on 24 Mar 2026 - 19:08

List Question

Simultaneous diagonalization on more than two matrices

$ \exists \ g \in \mathcal{L}(E)$ s.t. $g^2 = f \ \iff \forall \ k$, $\dim \ker(f-aId)^k$ is even

Relation between left and right Jordan forms

About Matrix function on Jordan normal form

Generalized Eigenvectors when algebraic multiplicity greater than 1

Commutativity and Jordan Decomposition

Jordan forms associated with characteristic polynomials and minimal polynomials

Jordan's Canonical Form of a Matrix

$3 \times 3$-matrices with the same characteristic polynomials and minimal polynomials that are not similar

Jordan form of a matrix confusion

Is it true that there are $a \in \mathbb{R}$, $k \in \mathbb{N}$, $k>0$ such $(A+aI_4)^k=0$

Trace of $(A-2I_4)^{10}+(A+I_4)^7$

All possible Jordan normal forms with a given minimal polynomial

Connections between Jordan forms and Original Matrices

Minimal Polynomial and Jordan Basis

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