Problem 615. Nilpotent matrix

Created by Grzegorz Knor

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Check if matrix A is </w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://mathworks.com/\"><w:r><w:t>nilpotent</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

614 Solutions
132 Solvers

Last Solution submitted on May 29, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

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.

Problem Recent Solvers132

Problem Tags

matrix

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 615. Nilpotent matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers132

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 615. Nilpotent matrix

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers132

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players