Interactive Demo
Matrix Column Interpretation Demo
Matrix Column Interpretation Demo is a free, interactive learning demo from the Applied Linear Algebra and Least Squares course on Lykke. It helps you build intuition for Transpose, Matrix-vector multiplication, Incidence matrix, Convolution. Play with it directly in your browser — it features 6 buttons, direct drag interaction and a live visual canvas. Drag the white circle to change input x. This demo lives in the “Matrix Basics and Geometric Examples” section of the course.

How to use this demo
- Drag the white circle to change input x.
- Click and drag directly on the canvas to manipulate the scene.
- Use the “Identity”, “Rotate 45°”, “Shear”, “Scale” buttons to trigger actions or reset the demo.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Transpose
- Matrix-vector multiplication
- Incidence matrix
- Convolution
Frequently asked questions
What does the Matrix Column Interpretation Demo demo do?
Matrix Column Interpretation Demo Drag vector tips to transform space. Matrix Column Interpretation Demo lets you explore this hands-on instead of only reading about it.
What Applied Linear Algebra and Least Squares concept does Matrix Column Interpretation Demo teach?
Defines matrix dimensions, multiplication with vectors, and applications in geometry and graph theory. It focuses on Transpose, Matrix-vector multiplication, Incidence matrix, Convolution from the “Matrix Basics and Geometric Examples” section.
What can I control in Matrix Column Interpretation Demo?
You can drag elements directly on the canvas; the “Identity”, “Rotate 45°”, “Shear”, “Scale” 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.
How does Matrix Column Interpretation Demo fit into the Applied Linear Algebra and Least Squares course?
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 “Matrix Basics and Geometric Examples” 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.
What will I understand better after using Matrix Column Interpretation Demo?
You'll build intuition for Transpose, Matrix-vector multiplication, Incidence matrix, Convolution — 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.
From the Applied Linear Algebra and Least Squares course
This interactive demo is part of the Matrix Basics and Geometric Examples section. Explore the full Applied Linear Algebra and Least Squares course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the Applied Linear Algebra and Least Squares course →