Eigenvectors with Golden Ratio
As you see, this is about a very intelligent and insightful question on linear algebra from 3Blue1Brown “Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra” It gathers eigenvectors, basal transformations, transformation matrices, Fibonacci sequences and golden ratios, which is particularly interesting. I have studied for more than three hours. I worked this on jupyter then upload it on colab. I use numpy to help verify and shows deduction by latex. so we can understand easier.Hope this helps.
Colab: https://colab.research.google.com/drive/1PshLi63lHfGIatfuywk3II3gnCtgjfUC?usp=sharing