Matrices 22: The Geometric Meaning of Eigenvectors

[@michaelsu4253]

Thank you so much! Extrodinary video! I have been troubled with eigen things for really a long time, especially from the geometric perspective. This video is the best video EVER I have watched regarding eigen topic! Very explicit and educational! I have to express my appreciation. You helped me a lot! Thank you James!

[@speedbird7587]

Very good , I mean excellent lecture! Thank you professor.

[@PigsOnBook]

also, is plotting data also considered to be called "the cartesian transformation?"

[@dsdrubo]

❣️❣️❣️

[@DkByond]

thanks. how about complex eigenvalues?

[@blancaroca8786]

Great video. But yes would be nice to see how James does the imaginary or complex case which get rotation in the 2d.. before jumping to 3d.

[@PigsOnBook]

what are real life examples of "basic points", you're feeding AMatrix "basic points", like observing Penguins and classifying them for research, observing penguin bill-length and penguin body-mass, so I can predict their lifespan, for example? what real life use (the geometric effect) do Eigen Vectors help with, in regards to predicting penguin life span? Why I would want to rotate a penguin on an Eigen Vector? is Eigen also called a Regression function? ref, docs.microsoft.com/en-us/learn/modules/create-clustering-model-azure-machine-learning-designer/create-training-pipeline and perhaps, can you clarify, are you writing x,y coordinates vertically, does that matter, or did I miss something in previous video? thanks for video.

[@PigsOnBook]

stumbled upon reference, docs.microsoft.com/en-us/azure/machine-learning/algorithm-module-reference/pca-based-anomaly-detection using Eigen