Question

What's the easiest way to prove that the following matrices are 0?

score 194 · Answer 1 · 2016-06-13 06:03:01

194

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What's the easiest way to prove that the following matrices are 0?

Published on 13 Jun 2016 - 6:03

score 80 · Answer 2 · 2016-06-14 09:30:28

80

Views

Nilpotence and conjugacy in $M(p,\mathbb F_p)$

Published on 14 Jun 2016 - 9:30

score 1.1k · Answer 3 · 2016-06-15 06:52:31

1.1k

Views

Nilpotent elements lie in some prime ideal in a commutative ring with $1$

Published on 15 Jun 2016 - 6:52

score 146 · Answer 4 · 2016-06-19 08:48:33

146

Views

$A^{n+1}=0\Rightarrow A^n=0$

Published on 19 Jun 2016 - 8:48

score 126 · Answer 5 · 2016-06-20 20:27:13

126

Views

If $A$ and $B$ have the same degree of nilpotence, do they have the same rank?

Published on 20 Jun 2016 - 20:27

score 515 · Answer 6 · 2016-06-26 15:34:22

515

Views

Finding nilpotent elements in a quotient ring.

Published on 26 Jun 2016 - 15:34

score 77 · Answer 7 · 2016-06-26 23:39:59

77

Views

Proving a fact about non-nilpotent matrices

Published on 26 Jun 2016 - 23:39

score 273 · Answer 8 · 2016-07-02 12:34:53

273

Views

Find all possible Jordan Canonical forms and the eigenspaces dimensions of a nilpotent matrix

Published on 02 Jul 2016 - 12:34

score 471 · Answer 9 · 2016-07-03 08:59:37

471

Views

Prove: if $A\not=0$ is a nilpotent matrix $\implies\dim(\ker A\cap\operatorname{Im} A)\geq 1$

Published on 03 Jul 2016 - 8:59

score 2.3k · Answer 10 · 2016-07-04 09:03:49

2.3k

Views

Find all possible Jordan Canonical forms for a nilpotent matrix

Published on 04 Jul 2016 - 9:03

score 543 · Answer 11 · 2016-07-04 13:22:00

543

Views

Why do the nilpotent and diagonalizable parts commute?

Published on 04 Jul 2016 - 13:22

score 22.7k · Answer 12 · 2013-04-25 10:38:30

22.7k

Views

Prove that the only eigenvalue of a nilpotent operator is 0?

Published on 25 Apr 2013 - 10:38

score 795 · Answer 13 · 2013-07-24 23:56:02

795

Views

$1+a$ and $1-a$ in a ring are invertible if $a$ is nilpotent

Published on 24 Jul 2013 - 23:56

score 1.8k · Answer 14 · 2013-08-17 03:36:51

1.8k

Views

Nilpotent commutative matrices $A, B$ $\Longrightarrow$ $A+B$ nilpotent.

Published on 17 Aug 2013 - 3:36

score 5.8k · Answer 15 · 2013-12-24 18:46:33

5.8k

Views

Direct proof that nilpotent matrix has zero trace

Published on 24 Dec 2013 - 18:46

List Question

What's the easiest way to prove that the following matrices are 0?

Nilpotence and conjugacy in $M(p,\mathbb F_p)$

Nilpotent elements lie in some prime ideal in a commutative ring with $1$

$A^{n+1}=0\Rightarrow A^n=0$

If $A$ and $B$ have the same degree of nilpotence, do they have the same rank?

Finding nilpotent elements in a quotient ring.

Proving a fact about non-nilpotent matrices

Find all possible Jordan Canonical forms and the eigenspaces dimensions of a nilpotent matrix

Prove: if $A\not=0$ is a nilpotent matrix $\implies\dim(\ker A\cap\operatorname{Im} A)\geq 1$

Find all possible Jordan Canonical forms for a nilpotent matrix

Why do the nilpotent and diagonalizable parts commute?

Prove that the only eigenvalue of a nilpotent operator is 0?

$1+a$ and $1-a$ in a ring are invertible if $a$ is nilpotent

Nilpotent commutative matrices $A, B$ $\Longrightarrow$ $A+B$ nilpotent.

Direct proof that nilpotent matrix has zero trace

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