Question

$T: \mathbb{C}_{2020}[x]\to \mathbb{C}_{2020}[x]$, $\sum_{i=0}^{2020}a_ix^i \mapsto \sum_{i=0}^{2020}a_i(x-1)^i$

score 68 · Answer 1 · 2021-12-30 16:27:53

68

Views

$T: \mathbb{C}_{2020}[x]\to \mathbb{C}_{2020}[x]$, $\sum_{i=0}^{2020}a_ix^i \mapsto \sum_{i=0}^{2020}a_i(x-1)^i$

Published on 30 Dec 2021 - 16:27

score 322 · Answer 2 · 2022-01-24 05:33:58

322

Views

Let $A$ and $B$ be $n \times n$ matrices over a field $F$ which have the same characteristic and minimal polynomial

Published on 24 Jan 2022 - 5:33

score 181 · Answer 3 · 2026-03-29 10:48:11

181

Views

Is the inverse of a block matrix also a block matrix?

Published on 29 Mar 2026 - 10:48

score 132 · Answer 4 · 2026-03-26 03:11:08

132

Views

How to show that the matrices $A$ and $B$ are similar?

Published on 26 Mar 2026 - 3:11

score 152 · Answer 5 · 2022-01-28 19:49:00

152

Views

Find the Jordan canonical form and an invertible $Q$ such that $A=QJQ^{-1}$

Published on 28 Jan 2022 - 19:49

score 98 · Answer 6 · 2022-02-01 11:20:45

98

Views

Let $M$ and $N$ be two $3\times 3$ matrices such that $MN=NM$, Further if $M\neq N^2$ and $M^2=N^4$ then

Published on 01 Feb 2022 - 11:20

score 62 · Answer 7 · 2026-03-26 03:10:46

62

Views

Real Eigenvalues and Similarity

Published on 26 Mar 2026 - 3:10

score 70 · Answer 8 · 2022-02-07 19:58:23

70

Views

Is there a 4x4 real matrix that has the following Jordan Canonical Form

Published on 07 Feb 2022 - 19:58

score 45 · Answer 9 · 2022-02-16 18:36:11

45

Views

How to determine the basis of an endomorphism Jordan normal form?

Published on 16 Feb 2022 - 18:36

score 55 · Answer 10 · 2022-02-19 18:58:24

55

Views

Computing the Jordan form of matrix - Getting the null matrix?

Published on 19 Feb 2022 - 18:58

score 52 · Answer 11 · 2026-03-27 15:20:08

52

Views

Given $\Delta_{T}(x)=m_{T}(x)=(x-\alpha)^{n}$ and $ TS = ST $ where $T,S$ are linear maps. Prove there is a polynomial $f(x)$ such that $S=f(T)$.

Published on 27 Mar 2026 - 15:20

score 113 · Answer 12 · 2022-02-25 13:22:15

113

Views

Jordan Normal Form and its conjugates

Published on 25 Feb 2022 - 13:22

score 39 · Answer 13 · 2026-03-27 21:34:29

39

Views

Determining the dimension of the Eigenspace without knowing the eigenvalues (Segre Classification)

Published on 27 Mar 2026 - 21:34

score 30 · Answer 14 · 2026-03-27 16:53:11

30

Views

Prove $\lambda^np_{AB}(\lambda) = \lambda^mp_{BA}(\lambda)$ for non-square $A$ and $B$.

Published on 27 Mar 2026 - 16:53

score 61 · Answer 15 · 2022-03-06 17:05:53

61

Views

Why is Jordan normal form possible?

Published on 06 Mar 2022 - 17:05

List Question

$T: \mathbb{C}_{2020}[x]\to \mathbb{C}_{2020}[x]$, $\sum_{i=0}^{2020}a_ix^i \mapsto \sum_{i=0}^{2020}a_i(x-1)^i$

Let $A$ and $B$ be $n \times n$ matrices over a field $F$ which have the same characteristic and minimal polynomial

Is the inverse of a block matrix also a block matrix?

How to show that the matrices $A$ and $B$ are similar?

Find the Jordan canonical form and an invertible $Q$ such that $A=QJQ^{-1}$

Let $M$ and $N$ be two $3\times 3$ matrices such that $MN=NM$, Further if $M\neq N^2$ and $M^2=N^4$ then

Real Eigenvalues and Similarity

Is there a 4x4 real matrix that has the following Jordan Canonical Form

How to determine the basis of an endomorphism Jordan normal form?

Computing the Jordan form of matrix - Getting the null matrix?

Given $\Delta_{T}(x)=m_{T}(x)=(x-\alpha)^{n}$ and $ TS = ST $ where $T,S$ are linear maps. Prove there is a polynomial $f(x)$ such that $S=f(T)$.

Jordan Normal Form and its conjugates

Determining the dimension of the Eigenspace without knowing the eigenvalues (Segre Classification)

Prove $\lambda^np_{AB}(\lambda) = \lambda^mp_{BA}(\lambda)$ for non-square $A$ and $B$.

Why is Jordan normal form possible?

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