mikexcohen/linalgbook ? reverse-engineered prompt

Build me a Python learning project for linear algebra that matches a textbook style, with one notebook and one script for each chapter topic.

I want the code to teach the ideas through simple examples, clear comments, and small visual demos where it helps, so someone can run it, tweak it, and see what happens. Cover the basics like vectors, matrices, matrix multiplication, solving systems, transformations, and eigendecomposition, with a focus on intuition as much as the math.

Keep it easy to follow for a student who is learning from scratch, and make sure the examples are self contained and runnable in Jupyter. If there are best practices or current NumPy details that would help, feel free to look them up online first.

Also include a clean README style setup so it is obvious how to open the notebooks, run the examples, and move through the chapters in order.