Singular Value Decomposition (SVD) in 2D

Deconstructing a transformation: A = U Σ Vᵀ

SVD Controls

Singular Values & Vectors

Step 0: The Standard Space

L: M = I
R: M = I

This is the original space. The colored lines are the Right Singular Vectors (v₁, v₂) of the matrix. They are perfectly orthogonal.

Direct Transformation (A)

Decomposition (U Σ Vᵀ)