[ ] About the text and formulas between Eq. 5 and Eq. 6: the "explained variance" term should be defined, and I think you should state what the sigma_i values are so that one can better understand what V_W and E_W mean and why. Also, I don't know what "ppal components" mean. There is a missing | in Eq. 6
[ ] The paragraph between Eq. 7 and the PCA gif below is not entirely clear to me, in particular the use of "final space", "elongation" and "dilation"
Apart from that, really good job! I didn't know about many of these things
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Apart from that, really good job! I didn't know about many of these things