Problem 451. Is this matrix orthogonal?

Created by Bruce Raine

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Given a square matrix, a, determine whether it is orthogonal.
INPUT: a, a n x n matrix
OUTPUT: true or false

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2200 Solutions
391 Solvers

Last Solution submitted on Dec 15, 2025

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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.

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