Рет қаралды 32,184
In this video we develop notation to express a vector in different reference/coordinate frames. We then investigate how to use rotation matrices to translate from a vector expressed in one frame to this same vector expressed in another frame.
Topics and time stamps:
0:43 - Introduction using drones
2:49 - Notation for expressing vectors in different frames
5:03 - Rotation matrices
27:32 - Inverse of a rotation matrix
30:57 - Eigenvalues of a rotation matrix
34:00 - Example
Lecture notes and code can be downloaded from github.com/clum/KZfaq/tree/...
For more information see:
-en.wikipedia.org/wiki/Rotatio...
-Stevens, B. L. and Lewis, F. L., “Aircraft Control and Simulation, 2nd Edition”, John Wiley and Sons, 2003, pg. 25.
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