The Singular Value Decomposition — every matrix is a rotation, a stretch, and a rotation
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YouTubeMathMotion
The Singular Value Decomposition — every matrix is a rotation, a stretch, and a rotation
The Singular Value Decomposition — every matrix is a rotation, a stretch, and a rotation. Pick any matrix at all — square or rectangular, real or complex. There is a single sentence, written down in 1873, that completely describes what that matrix does to space: A = U Σ V^T Here U and V are orthogonal (pure rotations) and Σ is diagonal ...
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