Problem 451. Is this matrix orthogonal?

Created by Bruce Raine

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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>Given a square matrix, a, determine whether it is orthogonal.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>INPUT: a, a n x n matrix</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>OUTPUT: true or false</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

1531 Solutions
255 Solvers

Last Solution submitted on Mar 12, 2021

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Alfonso Nieto-Castanon on 5 Mar 2012

perhaps you could these cases to avoid some non-general solutions... TEST1: x=sqrtm([2,1;1,1]); y_correct=false; TEST2: x=randn(3); y_correct=false;

Bruce Raine on 7 Mar 2012

Thanks for the suggestions. I have implemented both of the tests. Cheers.

Solution Comments

Solution 1266265

1 Comment

1 Comment

Andrew Dobrovolc on 11 Sep 2017

I believe the test cases are wrong, I could not prove that a matrix from randn(3) is orthogonal.

Solution 997317

1 Comment

1 Comment

Adib on 27 Jul 2020

are you kidding ? :3 Great IQ !!

Problem Recent Solvers255

Problem Tags

orthogonal

Community Treasure Hunt

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

Start Hunting!

Problem 451. Is this matrix orthogonal?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers255

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Problem 451. Is this matrix orthogonal?

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers255

Suggested Problems

More from this Author16

Problem Tags

Community Treasure Hunt

Players