Problem 451. Is this matrix orthogonal?
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;
Thanks for the suggestions. I have implemented both of the tests. Cheers.
The threshold 1.1 is hard coded. It would be better to use rounding off to nearest integer to ensure robustness. A false positive can occur where a non-orthogonal matrix with norm 1.05 is returned as orthogonal from this function
I believe the test cases are wrong, I could not prove that a matrix from randn(3) is orthogonal.
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