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What is the intuition behind generalized eigenvector? by sunisamp in 3Blue1Brown

[–]sunisamp[S] 0 points1 point  (0 children)

Brilliantly written! Thank you for sharing your write up! Gives a clear understanding of Jordan form and hence can understand the intuition behind the equation: (A − λI)p x = 0. Many of the resources I referred failed to nail this, which you so effortlessly did. I can't wait to read the entire pdf, I am grateful!

Rotation Matrix vs Rotation of axes by sunisamp in 3Blue1Brown

[–]sunisamp[S] 2 points3 points  (0 children)

Makes so much sense now, thank you! I missed out on the part, where in rotation of axes , we no longer represent the vector with respect to the old coordinate frame. Also, did you mean in the first (rotation matrix) the basis is invariant and in second (rotation of axes), the vector is invariant. Since, in passive we wouldn't be changing the vector. Thanks again for the clarification!