Question

Spectral norm of Jordan basis

score 52 · Answer 1 · 2020-05-19 18:43:21

52

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Spectral norm of Jordan basis

Published on 19 May 2020 - 18:43

score 38 · Answer 2 · 2020-05-21 14:50:03

38

Views

Find a matrix B such that B^3 = ((9,1),(-1,7)). B can have complex values.

Published on 21 May 2020 - 14:50

score 1.1k · Answer 3 · 2020-05-21 23:27:57

1.1k

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Calculate power of a matrix using jordan form

Published on 21 May 2020 - 23:27

score 35 · Answer 4 · 2020-05-23 21:36:54

35

Views

Show that there exist $a_1,\ldots, a_{2n-1}$ such that $ a_{2n-1}J^{2n-1}+\cdots+a_1 J=I_n,$ where $J$ is a Jordan matrix

Published on 23 May 2020 - 21:36

score 40 · Answer 5 · 2026-03-25 08:09:02

40

Views

find all the matrices (which are not similiar) which fulfill this formula

Published on 25 Mar 2026 - 8:09

score 127 · Answer 6 · 2026-03-25 11:14:46

127

Views

Alll the matrices $A\in M_{7x7}\left(\mathbb{C}\right)$, with characteristic polynomial is: $\left(x-1\right)^3\left(x-2\right)^4$, ...

Published on 25 Mar 2026 - 11:14

score 425 · Answer 7 · 2020-05-29 17:02:42

425

Views

Prove that $U(E_{\lambda})=E_{\lambda}$ and $U(K_{\lambda})=K_{\lambda}$.

Published on 29 May 2020 - 17:02

score 110 · Answer 8 · 2026-02-23 10:06:31

110

Views

Question involving eigenspaces and generalized eigenspaces

Published on 23 Feb 2026 - 10:06

score 50 · Answer 9 · 2020-05-30 13:32:00

50

Views

Jordan matrix form and polynomial proof.

Published on 30 May 2020 - 13:32

score 197 · Answer 10 · 2020-05-31 16:24:42

197

Views

Relation between Jordan Normal Form and cyclic modules

Published on 31 May 2020 - 16:24

score 103 · Answer 11 · 2020-06-03 12:13:42

103

Views

Is it true that for jordan block with zero eigenvalue we can choose basis where all diagonal elements are non zero?

Published on 03 Jun 2020 - 12:13

score 29 · Answer 12 · 2020-06-03 18:19:53

29

Views

Find nondiagonalizable matrix A

Published on 03 Jun 2020 - 18:19

score 456 · Answer 13 · 2026-03-27 01:44:37

456

Views

Calculating matrix exponential for $n \times n$ Jordan block

Published on 27 Mar 2026 - 1:44

score 89 · Answer 14 · 2026-03-26 02:56:21

89

Views

Prove that the Jordan Canonical Form of $T$ contains the Jordan Canonical Form of $T|_W$ for any $T$-invariant $W.$

Published on 26 Mar 2026 - 2:56

score 390 · Answer 15 · 2026-03-25 16:00:02

390

Views

Minimal polynomial = chratacteristic polynomial $\iff$ distinct eigenvalues associated with distinct Jordan blocks?

Published on 25 Mar 2026 - 16:00

List Question

Spectral norm of Jordan basis

Find a matrix B such that B^3 = ((9,1),(-1,7)). B can have complex values.

Calculate power of a matrix using jordan form

Show that there exist $a_1,\ldots, a_{2n-1}$ such that $ a_{2n-1}J^{2n-1}+\cdots+a_1 J=I_n,$ where $J$ is a Jordan matrix

find all the matrices (which are not similiar) which fulfill this formula

Alll the matrices $A\in M_{7x7}\left(\mathbb{C}\right)$, with characteristic polynomial is: $\left(x-1\right)^3\left(x-2\right)^4$, ...

Prove that $U(E_{\lambda})=E_{\lambda}$ and $U(K_{\lambda})=K_{\lambda}$.

Question involving eigenspaces and generalized eigenspaces

Jordan matrix form and polynomial proof.

Relation between Jordan Normal Form and cyclic modules

Is it true that for jordan block with zero eigenvalue we can choose basis where all diagonal elements are non zero?

Find nondiagonalizable matrix A

Calculating matrix exponential for $n \times n$ Jordan block

Prove that the Jordan Canonical Form of $T$ contains the Jordan Canonical Form of $T|_W$ for any $T$-invariant $W.$

Minimal polynomial = chratacteristic polynomial $\iff$ distinct eigenvalues associated with distinct Jordan blocks?

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