Drag basis vector heads î (Cyan) or ĵ (Coral) directly
Scale: 1 unit = 50px
Presets:
Transformation Matrix A
det(A) = 3.00
A =
a: 2.0
b: 1.0
c: 1.0
d: 2.0
Eigenspace Analysis
SVD Breakdown (A = U Σ Vᵀ)
Decomposes any transformation into pure rotation Vᵀ, diagonal scaling Σ, and final rotation U.
Geometric Interpretation
The matrix acts on space by scaling along symmetric eigen-axes. Areas are scaled by a factor of 3.00, preserving orientation.