Why is the Rotation Matrix Orthogonal? | Classical Mechanics
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Why is the Rotation Matrix Orthogonal? | Classical Mechanics
For any rotation matrix R, we usually know that it's transpose is equal to it's inverse, so that R^T R is equal to the identity matrix. This is due to the fact that we take the rotation matrix to be orthogonal. But why do we assume that rotation matrices are orthogonal? In this video, we will answer this question. 00:00 Introduction 01:40 Proof ...
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