Question

About the rank of Jordan blocks

score 536 · Answer 1 · 2020-11-18 10:14:14

536

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About the rank of Jordan blocks

Published on 18 Nov 2020 - 10:14

score 1k · Answer 2 · 2020-11-18 16:05:14

1k

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How many Jordan blocks correspond to $\lambda$? What is the intuition?

Published on 18 Nov 2020 - 16:05

score 237 · Answer 3 · 2020-11-19 11:52:15

237

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What can be Jordan forms of matrix with charcterstic polynomial $(x-3)^2 (x-2)^4$ and minimal polynomial $(x-3)(x-2)^2$

Published on 19 Nov 2020 - 11:52

score 139 · Answer 4 · 2026-03-22 18:10:44

139

Views

Looking for an intuition of the definition of Generalized Eigenspaces

Published on 22 Mar 2026 - 18:10

score 162 · Answer 5 · 2020-11-20 07:16:51

162

Views

Problem about extending $S\subseteq V$ to a Jordan basis of a nilpotent operator $T:V\to V$

Published on 20 Nov 2020 - 7:16

score 226 · Answer 6 · 2026-03-26 17:37:37

226

Views

Given the characteristic (and minimal) polynomial of $T:V\to V$, how many distinct Jordan forms are possible?

Published on 26 Mar 2026 - 17:37

score 242 · Answer 7 · 2020-11-20 12:27:52

242

Views

Making sense of $x'=Ax\implies x(t)=e^{Jt}x(0)$ when $A$ is nondiagonalizable

Published on 20 Nov 2020 - 12:27

score 181 · Answer 8 · 2026-03-25 05:03:02

181

Views

Which of the following options are correct about $X = \left \{C \in GL_3 (\Bbb R)\ |\ CAC^{-1}\ \text {is triangular} \right \}\ $?

Published on 25 Mar 2026 - 5:03

score 105 · Answer 9 · 2020-11-25 20:01:02

105

Views

Connection between uniqueness of Jordan normal form and Jordan–Chevalley decomposition

Published on 25 Nov 2020 - 20:01

score 94 · Answer 10 · 2026-03-22 01:58:33

94

Views

Determining the Jordan decomposition of a given matrix

Published on 22 Mar 2026 - 1:58

score 114 · Answer 11 · 2026-03-26 01:35:03

114

Views

Companion Matrix of first degree monomial $x$

Published on 26 Mar 2026 - 1:35

score 61 · Answer 12 · 2020-12-07 13:09:29

61

Views

Eigenvalues and Eigenvectors for the following matrix

Published on 07 Dec 2020 - 13:09

score 36 · Answer 13 · 2020-12-15 22:07:11

36

Views

Finding the Jordan Form of matrices with mostly 0

Published on 15 Dec 2020 - 22:07

score 35 · Answer 14 · 2020-12-16 03:37:58

35

Views

Expressing diagonal part and strictly upper triangular part of JNF via polynomials

Published on 16 Dec 2020 - 3:37

score 58 · Answer 15 · 2026-03-27 23:48:14

58

Views

$A$ is nilpotent $4\times 4$ matrix and $\ker A^2 \ne \ker A^3$, Prove/Disprove the following

Published on 27 Mar 2026 - 23:48

List Question

About the rank of Jordan blocks

How many Jordan blocks correspond to $\lambda$? What is the intuition?

What can be Jordan forms of matrix with charcterstic polynomial $(x-3)^2 (x-2)^4$ and minimal polynomial $(x-3)(x-2)^2$

Looking for an intuition of the definition of Generalized Eigenspaces

Problem about extending $S\subseteq V$ to a Jordan basis of a nilpotent operator $T:V\to V$

Given the characteristic (and minimal) polynomial of $T:V\to V$, how many distinct Jordan forms are possible?

Making sense of $x'=Ax\implies x(t)=e^{Jt}x(0)$ when $A$ is nondiagonalizable

Which of the following options are correct about $X = \left \{C \in GL_3 (\Bbb R)\ |\ CAC^{-1}\ \text {is triangular} \right \}\ $?

Connection between uniqueness of Jordan normal form and Jordan–Chevalley decomposition

Determining the Jordan decomposition of a given matrix

Companion Matrix of first degree monomial $x$

Eigenvalues and Eigenvectors for the following matrix

Finding the Jordan Form of matrices with mostly 0

Expressing diagonal part and strictly upper triangular part of JNF via polynomials

$A$ is nilpotent $4\times 4$ matrix and $\ker A^2 \ne \ker A^3$, Prove/Disprove the following

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