Complex Numbers as Vector Rotations
In this video I illustrate how complex numbers can be interpreted as vector rotations. This follows from my earlier video on equating the Rotation Matrix as a complex number. Rotating a vector by 0° is equivalent to multiplying the vector by the Identity Matrix [I]. Rotating a vector by 90° is equivalent to multiplying the vector by the Imaginary Matrix [i]. This is quite amazing, both in that complex numbers can be interpreted as vector rotations and also in that the imaginary unit i can be viewed as a 90° rotation!
This video was taken from my earlier video listed below:
Complex Numbers as Rotation Matrices: • Complex Numbers as Rotation Matrices
Video notes: https://peakd.com/hive-128780/@mes/co...
Playlist: • Complex Numbers as Rotation Matrices
Related Videos:
Vectors and the Geometry of Space Playlist: • Vectors and the Geometry of Space .
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