List questions from nilpotence

Published on 27 May 2015 - 16:51

122

Views

Prove that if $A,B\in M_n(\mathbb{F})$ are $(n-1)$-nilpotent then they are similar.

Published on 28 May 2015 - 13:09

3.7k

Views

How can I tell that my matrix is nilpotent?

Published on 25 Jul 2015 - 3:43

90

Views

A property of normal matrices

Published on 04 Aug 2015 - 20:57

126

Views

If $A$ is nipotent, how to prove that $A+A^*$ is not nilpotent?

Published on 06 Aug 2015 - 12:43

55

Views

What's my mistake with this chain of nullspaces computation,

Published on 07 Aug 2015 - 1:12

207

Views

An endomorphism is nilpotent if it commutes rescaling with an automorphism

Published on 07 Aug 2015 - 18:47

31

Views

Frattini subgroups and nilpotent groups: bijection?

Published on 28 Aug 2015 - 10:53

2.5k

Views

Proof that if $\mathrm{tr}\,A^k=0$ for all $k=1,\ldots, n$, then $A^n = 0$

Published on 18 Sep 2015 - 7:52

248

Views

Proof for $A,B \in M_n(\mathbb{F})$ that if $[A,B]=tA$ for $0\neq t\in\mathbb{F}$, then $A^n=0$

Published on 18 Sep 2015 - 7:55

251

Views

Quotient ring of nilpotent ring doesn't have any nilpotents beside 0

Published on 21 Sep 2015 - 9:53

275

Views

If $\|A\| < 1$, does that imply $A$ is nilpotent?

Published on 22 Sep 2015 - 22:10

7.6k

Views

Nilpotent matrix and relation between its powers and dimension of kernels

Published on 23 Sep 2015 - 5:02

473

Views

A question about nilpotent matrix

Published on 27 Sep 2015 - 7:11

876

Views

Infinitely many $f$-invariant subspaces iff $f^2=0$ for $f$ a nilpotent endomorphism

Published on 28 Sep 2015 - 18:27

List Question

Solve matrix equation $e^A=e^B$ for nilpotent $A, B$.

Prove that if $A,B\in M_n(\mathbb{F})$ are $(n-1)$-nilpotent then they are similar.

How can I tell that my matrix is nilpotent?

A property of normal matrices

If $A$ is nipotent, how to prove that $A+A^*$ is not nilpotent?

What's my mistake with this chain of nullspaces computation,

An endomorphism is nilpotent if it commutes rescaling with an automorphism

Frattini subgroups and nilpotent groups: bijection?

Proof that if $\mathrm{tr}\,A^k=0$ for all $k=1,\ldots, n$, then $A^n = 0$

Proof for $A,B \in M_n(\mathbb{F})$ that if $[A,B]=tA$ for $0\neq t\in\mathbb{F}$, then $A^n=0$

Quotient ring of nilpotent ring doesn't have any nilpotents beside 0

If $\|A\| < 1$, does that imply $A$ is nilpotent?

Nilpotent matrix and relation between its powers and dimension of kernels

A question about nilpotent matrix

Infinitely many $f$-invariant subspaces iff $f^2=0$ for $f$ a nilpotent endomorphism

Trending Questions

Popular # Hahtags

Popular Questions