2D Rotation matrices (2/5): properties (orthonormal basis, metric and orientation preservation)
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YouTubeModeling, Identification, Control (A. Sala)
2D Rotation matrices (2/5): properties (orthonormal basis, metric and orientation preservation)
In this video, we examine the properties of the 2D real rotation matrices that we derived in video videoref{https://youtu.be/CEgE0mZWG8s} using a sum-of-angles argument. We will discuss: -- Orthogonality: R^TR=I is verified. That entails that inverting and transposing is the same, and columns (or rows) of 2D rotation matrices form an ...
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