List questions from jordan-normal-form

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$n \ge 2, (p,n) \ne (2,2).$ Prove that for any $v \in \mathbb{F}_p^n,$ the sequence $v, (I+M)v, (I+M+M^2)v, \dots$ has period $<p^n.$

Published on 10 Aug 2020 - 0:25

119

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Finding all possible Jordan Normal Forms

Published on 17 Aug 2020 - 20:03

1.1k

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Does the Jordan form of the matrix depend on where the Jordan blocks are placed?

Published on 19 Aug 2020 - 23:09

134

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How can I prove that the linear transformation has at most one non-zero eigen value?

Published on 25 Aug 2020 - 10:21

139

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Different linear maps with the same Jordan form

Published on 27 Aug 2020 - 5:39

86

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Jordan form of linear operator

Published on 01 Sep 2020 - 13:07

64

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Jordan cononical form of nilpotent matrix

Published on 06 Sep 2020 - 15:37

38

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Some steps in the proof of Jordan Normal Form

Published on 14 Sep 2020 - 16:08

764

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Number of possible Jordan canonical form without constructing the matrix

Published on 14 Sep 2020 - 17:02

39

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Is it possible for a generalized eigenvector to have two different eigenvalues?

Published on 17 Sep 2020 - 9:43

730

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Solving x'=Ax for 4x4 matrix with repeated eigenvalues

Published on 23 Sep 2020 - 0:02

70

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when the two matrices are Similar?

Published on 25 Mar 2026 - 19:01

1.6k

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Difference between canonical and normal matrices.

Published on 29 Sep 2020 - 18:36

63

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Question of Jordan Decomposition Proof in Artin's Algebra Book

Published on 30 Sep 2020 - 18:03

40

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Matrix with special Jordan chains

Published on 25 Mar 2026 - 21:45

List Question

$n \ge 2, (p,n) \ne (2,2).$ Prove that for any $v \in \mathbb{F}_p^n,$ the sequence $v, (I+M)v, (I+M+M^2)v, \dots$ has period $<p^n.$

Finding all possible Jordan Normal Forms

Does the Jordan form of the matrix depend on where the Jordan blocks are placed?

How can I prove that the linear transformation has at most one non-zero eigen value?

Different linear maps with the same Jordan form

Jordan form of linear operator

Jordan cononical form of nilpotent matrix

Some steps in the proof of Jordan Normal Form

Number of possible Jordan canonical form without constructing the matrix

Is it possible for a generalized eigenvector to have two different eigenvalues?

Solving x'=Ax for 4x4 matrix with repeated eigenvalues

when the two matrices are Similar?

Difference between canonical and normal matrices.

Question of Jordan Decomposition Proof in Artin's Algebra Book

Matrix with special Jordan chains

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