What are eigenvalues and eigenvectors?
In this video, we build an intuitive, geometry-first understanding of eigenvectors and eigenvalues.
You will see why certain directions are preserved under linear transformations, how this is connected to stretching space, and how eigen-directions appear naturally.
Check out my full Linear Algebra playlist here:
https://www.youtube.com/playlist?list=PLlenrM60CLlM1C6JDdtVBz1LOzIwTSNCm
📌 Timestamps:
0:00 Introduction
0:51 What Eigenvectors Are
3:32 Geometry: Circles and Ellipses
6:12 Eigen-Directions and Eigenrooms
8:41 Examples: Diagonal and Shear Matrices
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