About
This page hosts a growing collection of interactive animations designed to accompany the ALADA course. Each animation focuses on a specific concept and is intended for in-class demonstration and self-study.
Animations
Phase plane of x[k+1] = A x[k] with the Ax − x quiver field and click-to-seed trajectory.
Phase plane of ẋ(t) = A x(t) with the ẋ = Ax velocity field, RK4-integrated trajectory, and eigenspace decomposition.
Interactive 3D surface of xTAx for a symmetric 2×2 matrix, with sliders for a, b, c, eigenvalues, and PD classification.
Unit ball and its image under A for the 1, 2, and ∞ norms, with a slider to sweep all unit vectors and display the induced norm ‖A‖_p.
Unit p-ball mapped by A = UΣVT: choose singular vectors via θU, θV sliders, adjust σ₁ and σ₂, and see v₁ → σ₁u₁, v₂ → σ₂u₂.