Problem 615. Nilpotent matrix

Created by Grzegorz Knor

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Check if matrix A is nilpotent.

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Last Solution submitted on Feb 14, 2025

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Ling Liang on 19 Jan 2020

May I ask what is the definition of Nilpotent matrix. I suppose that is A^k =0 for some k? If I am right, then 0 must be an eigenvalue of A, then there is some issues for the test problems.

Mayank Bajpai on 16 Oct 2020

@Ling Liang , take some tolerance while checking the equality of eigen value with zero.

Behnaz Alinaghipour on 3 Feb 2025 at 22:53

nice one!

Christian Schröder on 4 Feb 2025 at 7:12

This needs some test cases with matrices that have zero eigenvalues but are not nilpotent.

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Problem 615. Nilpotent matrix

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Problem 615. Nilpotent matrix

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Last 200 Solutions

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Problem Recent Solvers223

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