|
Size: 1090
Comment: Fixed link
|
Size: 1010
Comment: Replacing with SVGs
|
| Deletions are marked like this. | Additions are marked like this. |
| Line 24: | Line 24: |
| * If ''c = ab'', then ''c̅ = a̅b̅''. * If ''c = a + b'', then ''c̅ = a̅ + b̅''. * If ''c = a - b'', then ''c̅ = a̅ - b̅''. |
* {{attachment:dist1.svg}} * {{attachment:dist2.svg}} |
Complex Vector
A complex vector is a vector whose members are complex numbers.
Contents
Description
A complex vector is simply a vector of complex numbers.
Properties
The double conjugate of a vector is the original vector: a̿ = a.
Conjugation is distributive.
Distance
Note that a complex vector as z = [1+i 1-i] would, according to the conventional definition for distance, have a magnitude of 0. Only the zero vector should have a magnitude of 0 however.
Distance of complex vectors relies on conjugation. In linear algebra notation, the distance of complex vector z is equal to z̅Tz.