Eigenvectors and eigenvalues: Essence of Linear Algebra - Part 14 of 15

The video tutorial explains eigenvectors and eigenvalues, emphasizing their importance in linear algebra. It covers the concept of linear transformations, showing how certain vectors remain on their span, known as eigenvectors, and are scaled by eigenvalues. The tutorial provides computational methods for finding these values and discusses special cases like rotations and shears. It concludes with the concept of an eigenbasis, highlighting its utility in simplifying matrix operations.

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