Question

Find Jordan Decomposition of $\left(\begin{smallmatrix} 4 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 3 \end{smallmatrix}\right)$ over $\mathbb{F}_5$

score 181 · Answer 1 · 2019-05-20 18:19:06

181

Views

Find Jordan Decomposition of $\left(\begin{smallmatrix} 4 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 3 \end{smallmatrix}\right)$ over $\mathbb{F}_5$

Published on 20 May 2019 - 18:19

score 83 · Answer 2 · 2019-05-23 01:48:35

83

Views

I want to find an explicit direct sum decomposition of the space into T-cyclic subspaces

Published on 23 May 2019 - 1:48

score 57 · Answer 3 · 2019-05-23 22:31:39

57

Views

Find Jordan norm form of matrix using lambda-matrix techniques

Published on 23 May 2019 - 22:31

score 336 · Answer 4 · 2019-05-25 18:44:21

336

Views

Given the Jordan form $J$, find matrix $P$

Published on 25 May 2019 - 18:44

score 929 · Answer 5 · 2019-05-28 06:37:27

929

Views

Why is Jordan Normal Form unique?

Published on 28 May 2019 - 6:37

score 47 · Answer 6 · 2019-05-28 23:55:23

47

Views

Jordan basis of the matrix with the only one eigenvalue 0

Published on 28 May 2019 - 23:55

score 969 · Answer 7 · 2019-05-29 14:54:12

969

Views

Can we reduce finding matrix roots to finding roots of Jordan blocks?

Published on 29 May 2019 - 14:54

score 93 · Answer 8 · 2019-05-30 14:18:24

93

Views

Jordan Normal Form Question

Published on 30 May 2019 - 14:18

score 72 · Answer 9 · 2019-06-04 01:30:58

72

Views

Galois descent for a semisimple automorphism

Published on 04 Jun 2019 - 1:30

score 695 · Answer 10 · 2026-03-27 08:40:04

695

Views

Jordan normal form and spectral decomposition

Published on 27 Mar 2026 - 8:40

score 76 · Answer 11 · 2019-06-05 16:47:00

76

Views

Let $A, B, C$ be some complex matrices. If $AB - BA = C$ and $AC = CA$, then $C^k = 0$ for some $k$.

Published on 05 Jun 2019 - 16:47

score 129 · Answer 12 · 2026-03-25 14:47:05

129

Views

If $B$ is nilpotent and $AB=BA$ then $\det(A+B)=\det(A)$ (Asking for other method)

Published on 25 Mar 2026 - 14:47

score 1k · Answer 13 · 2026-03-27 00:05:23

1k

Views

If $\text{tr}(A) = \text{rank}(A) = 1$, find the Jordan Canonical Form of $A$.

Published on 27 Mar 2026 - 0:05

score 78 · Answer 14 · 2026-03-25 16:14:03

78

Views

If $A \in M_2(\mathbb{C})$ and $A^2 = 0$ then what are the possible forms of A?

Published on 25 Mar 2026 - 16:14

score 603 · Answer 15 · 2026-03-27 16:46:16

603

Views

Jordan Canonical form with zero eigenvalue?

Published on 27 Mar 2026 - 16:46

List Question

Find Jordan Decomposition of $\left(\begin{smallmatrix} 4 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 3 \end{smallmatrix}\right)$ over $\mathbb{F}_5$

I want to find an explicit direct sum decomposition of the space into T-cyclic subspaces

Find Jordan norm form of matrix using lambda-matrix techniques

Given the Jordan form $J$, find matrix $P$

Why is Jordan Normal Form unique?

Jordan basis of the matrix with the only one eigenvalue 0

Can we reduce finding matrix roots to finding roots of Jordan blocks?

Jordan Normal Form Question

Galois descent for a semisimple automorphism

Jordan normal form and spectral decomposition

Let $A, B, C$ be some complex matrices. If $AB - BA = C$ and $AC = CA$, then $C^k = 0$ for some $k$.

If $B$ is nilpotent and $AB=BA$ then $\det(A+B)=\det(A)$ (Asking for other method)

If $\text{tr}(A) = \text{rank}(A) = 1$, find the Jordan Canonical Form of $A$.

If $A \in M_2(\mathbb{C})$ and $A^2 = 0$ then what are the possible forms of A?

Jordan Canonical form with zero eigenvalue?

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