In this video, I have shown the derivation as to how can we find the direction of maximum separation of the classes. Link to the notes used in the above videos
https://drive.google.com/open?id=18Fp1iNuKLaFC6dMOKAnKW0tgrQhLPEA5
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Linear Discriminant Analysis(LDA): Complete Derivation [E19.1] | NatokHD