List questions from nilpotence

Published on 09 Sep 2020 - 9:41

76

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Properties of nilpotent operator on V

Published on 11 Sep 2020 - 10:32

520

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When is a linear operator nilpotent?

Published on 11 Sep 2020 - 13:30

107

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How is the matrix exponential the sum of the identity matrix and the original matrix?

Published on 17 Sep 2020 - 6:46

604

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If A is nilpotent, and B is an invertible matrix of the same order as A and AB =BA, then B- A is invertible.

Published on 25 Sep 2020 - 4:10

71

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diagonalisation as well as nilpotent

Published on 02 Oct 2020 - 9:03

198

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Application of Fitting's Lemma

Published on 06 Oct 2020 - 12:27

58

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Is this linear independence proof valid?

Published on 07 Oct 2020 - 5:28

51

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Would this be a valid proof for linear independence?

Published on 08 Oct 2020 - 12:44

426

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$A$ is nilpotent, then $I+\lambda A$ is invertible for any $\lambda \in \mathbb{R}$

Published on 12 Oct 2020 - 6:31

877

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Killing form vanishes on nilpotent lie algebra

Published on 13 Oct 2020 - 16:15

192

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Commutative ring: sum of nilpotent elements

Published on 03 Nov 2020 - 13:12

162

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Generalized eigenspace - Construction algorithm proof

Published on 23 Mar 2026 - 12:17

111

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Prove $0$ is the only eigenvalue of $A$.

Published on 11 Nov 2020 - 22:08

29

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Calculating Nil(Z_n) faster

Published on 17 Nov 2020 - 17:36

List Question

Nilpotent elements of $\Bbb Z[x]/I$ where $I$ is a set of polynomials

Properties of nilpotent operator on V

When is a linear operator nilpotent?

How is the matrix exponential the sum of the identity matrix and the original matrix?

If A is nilpotent, and B is an invertible matrix of the same order as A and AB =BA, then B- A is invertible.

diagonalisation as well as nilpotent

Application of Fitting's Lemma

Is this linear independence proof valid?

Would this be a valid proof for linear independence?

$A$ is nilpotent, then $I+\lambda A$ is invertible for any $\lambda \in \mathbb{R}$

Killing form vanishes on nilpotent lie algebra

Commutative ring: sum of nilpotent elements

Generalized eigenspace - Construction algorithm proof

Prove $0$ is the only eigenvalue of $A$.

Calculating Nil(Z_n) faster

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