Problem 451. Is this matrix orthogonal?

Created by Bruce Raine

Solve Later

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

Solve

Solution Stats

2196 Solutions
387 Solvers

Last Solution submitted on Nov 29, 2025

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

Show comments

Problem Recent Solvers387

Suggested Problems

radius of a spherical planet

4164 Solvers
Return the first and last characters of a character array

11390 Solvers
How long is the longest prime diagonal?

403 Solvers
Symmetric matrix

340 Solvers
We love vectorized solutions. Problem 1 : remove the row average.

869 Solvers

More from this Author16

Find the "ordinary" or Euclidean distance between A and Z

167 Solvers
What is the distance from point P(x,y) to the line Ax + By + C = 0?

549 Solvers
How many days does the cat take to climb out of the hole?

80 Solvers
Find the largest value in the 3D matrix

1627 Solvers
Pythagorean perfect squares: find the square of the hypotenuse and the length of the other side

57 Solvers

Problem Tags

Community Treasure Hunt

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

Start Hunting!