| 11. | When Q = 0 the second condition requires that O is an orthogonal matrix.
|
| 12. | It is orthostochastic if there exists an orthogonal matrix " O " such that
|
| 13. | In this case, because and are real valued, they each are an orthogonal matrix.
|
| 14. | In components, such operator is expressed with orthogonal matrix that is multiplied to column vectors.
|
| 15. | Stronger than the determinant restriction is the fact that an orthogonal matrix can always be modulus 1.
|
| 16. | A direct isometry is an affine transformation with an orthogonal matrix that has a determinant of 1.
|
| 17. | A general orthogonal matrix has only one real eigenvalue, either + 1 or " 1.
|
| 18. | Here the image \ rho ( z ) of z = x + iy is the orthogonal matrix
|
| 19. | For a stable method of converting an orthogonal matrix to a quaternion, see Rotation matrix # Quaternion.
|
| 20. | In similarity transformation, i . e . a product of an orthogonal matrix and a scalar matrix.
|
