Interactive Matrix Dynamics

Covers the representation of systems of equations and the modeling of time-varying states. Interactive Matrix Dynamics turns that idea into something you can manipulate directly and watch respond.

Covers the representation of systems of equations and the modeling of time-varying states. It focuses on Affine functions, Systems of linear equations, State-space model, Population dynamics from the “Linear Equations and Dynamical Systems” section.

You can drag elements directly on the canvas; the “Static: Ax = b”, “Dynamic: xₜ₊₁ = Axₜ” buttons run actions or reset the demo. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.

This course provides a practical introduction to linear algebra, focusing on the core concepts of vectors, matrices, and least squares methods. It emphasizes real-world applications such as machine learning, control sys… This demo is the interactive piece for the “Linear Equations and Dynamical Systems” section. Open the full Applied Linear Algebra and Least Squares course wiki at https://www.getlykke.com/explore/public/applied-linear-algebra-and-least-squares-f2e383ce-d1e8-4a0a-af8a-f21feb45dad0 for notes, flashcards, quizzes and the other demos.

You'll build intuition for Affine functions, Systems of linear equations, State-space model, Population dynamics — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on Applied Linear Algebra and Least Squares alone.