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

2200 Solutions
391 Solvers

Last Solution submitted on Dec 15, 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 Solvers391

Suggested Problems

Who Has the Most Change?

9128 Solvers
Vectorize the digits of an Integer

335 Solvers
Replace multiples of 5 with NaN

465 Solvers
Sum the numbers on the main diagonal

609 Solvers
07 - Common functions and indexing 1

451 Solvers

More from this Author16

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

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

58 Solvers
Find the Kronecker Tensor Product without using KRON

49 Solvers
How long do each of the stages of the rocket take to burn?

440 Solvers
Find the largest value in the 3D matrix

1644 Solvers

Problem Tags

Community Treasure Hunt

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

Start Hunting!