List questions from nilpotence

Published on 19 Apr 2016 - 1:41

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Trace zero means matrix is nilpotent?

Published on 19 Apr 2016 - 6:49

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Nilpotent Lie algebra

Published on 19 Apr 2016 - 18:01

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How to prove that the square matrix $A_{n}$ matrix is nilpotent such that $A^{(n-1)}=0$

Published on 28 Apr 2016 - 12:39

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For $T:\mathbb{R}^6 \to \mathbb{R}^6$ and $T^5 \neq 0, \; T^6 = 0,$ prove there exists no $S$ such that $S^2 = T.$

Published on 28 Apr 2016 - 22:12

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Proof of nilpotent matrix in Complex Numbers

Published on 12 May 2016 - 1:43

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Find the Jordan Canonical Form of a nilpotent matrix

Published on 12 May 2016 - 13:15

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Find all possible Jordan Canonical forms for a nilpotent linear transformation

Published on 15 May 2016 - 7:53

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Find all possible Jordan Canonical form for nilpotent matrices with the characteristic polynomial $\lambda ^6$

Published on 15 May 2016 - 10:02

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If $H$ and $K$ are nilpotent normal subgroups then $C(HK)$ is non trivial

Published on 16 May 2016 - 19:07

421

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Showing a map is nilpotent

Published on 28 May 2016 - 15:01

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Eigenvectors of nilpotent $3 \times 3$ matrix

Published on 29 May 2016 - 12:03

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Flag of invariant subspaces

Published on 29 May 2016 - 12:19

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When is $adj(A)$ nilpotent?

Published on 30 May 2016 - 12:19

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In any ring R, show that ab is nilpotent iff ba is nilpotent. Can one say the same for zero divisors?

Published on 06 Jun 2016 - 13:52

List Question

Nilpotent element in $\mathbb{Z}/12\mathbb{Z}$ - Ideal

Trace zero means matrix is nilpotent?

Nilpotent Lie algebra

How to prove that the square matrix $A_{n}$ matrix is nilpotent such that $A^{(n-1)}=0$

For $T:\mathbb{R}^6 \to \mathbb{R}^6$ and $T^5 \neq 0, \; T^6 = 0,$ prove there exists no $S$ such that $S^2 = T.$

Proof of nilpotent matrix in Complex Numbers

Find the Jordan Canonical Form of a nilpotent matrix

Find all possible Jordan Canonical forms for a nilpotent linear transformation

Find all possible Jordan Canonical form for nilpotent matrices with the characteristic polynomial $\lambda ^6$

If $H$ and $K$ are nilpotent normal subgroups then $C(HK)$ is non trivial

Showing a map is nilpotent

Eigenvectors of nilpotent $3 \times 3$ matrix

Flag of invariant subspaces

When is $adj(A)$ nilpotent?

In any ring R, show that ab is nilpotent iff ba is nilpotent. Can one say the same for zero divisors?

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