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eigenvectors

A comprehensive repository of 100+ Jupyter Notebooks covering linear algebra topics, including matrix decompositions, Gaussian elimination, eigenvalues, SVD, and interactive Python/Julia examples for teaching and learning.

Check out our YouTube channel https://www.youtube.com/playlist?list=PLBDUlnmEqyXD_llq6wETUqRkJGRiu8wFU for tutorials and walkthroughs of these notebooks.

Explore the power method to find the dominant eigenvalue and eigenvector of a given matrix and describe the error estimate and convergence. Write a code to numerically compute the dominant eigenvalue of the given matrix A, plot the original eigen spectrum, and comment on the drawbacks of the method. Compare the eigenvalue computed with the power method with the theoretical eigenvalue calculated using eigen decomposition.