A real square matrix is orthogonal when , equivalently when its columns form an orthonormal basis. Taking determinants gives , so
(1)
In particular it is invertible with inverse and preserves the Euclidean norm.

Ancestors (12)

  1. a
  2. P4
  3. 2013
  4. Past exam of the options II course of the University of Oxford
  5. Options II course of the University of Oxford
  6. Year 2 of the mathematics course of the University of Oxford
  7. Mathematics course of the University of Oxford
  8. Undergraduate course of the University of Oxford
  9. Course of the University of Oxford
  10. University of Oxford
  11. List of universities
  12. Home

View article source

Discussion (0) New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version