Visualization of 2D rotation matrix. As θ sweeps from 0 to 2π, shapes rotate rigidly; no distortion or scaling. Orthogonal transformations preserve distances, angles & inner products. That’s why we diagonalize symmetric matrices with orthogonal.
0:17
Visualization of 2D rotation matrix. As θ sweeps from 0 to 2π, shapes rotate rigidly; no distortion or scaling. Orthogonal transformations preserve distances, angles & inner products. That’s why we diagonalize symmetric matrices with orthogonal.
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