Determinant (area scale)
3
Orientation
Preserved (det > 0)
Where the basis lands
î (1, 0) → (2, 1) · ĵ (0, 1) → (1, 2)
Probe vector image
(3, 3)
Eigenvalues & eigenvectors
Two real eigenvalues — the plane stretches along two independent directions.
- Eigenvalue λ = 3 → Eigenvector (0.7071, 0.7071)
- Eigenvalue λ = 1 → Eigenvector (0.7071, -0.7071)
Inverse matrix
[0.6667 -0.3333; -0.3333 0.6667]
