Linear Algebra, Lesson 5, Video 7: Proof of Positivity of Two Norm

[donotlloyder]

I've been thinking about this since yesterday. It seems like it would be relatively easy (famous last words...?) to extend this proof by showing that positivity holds for all n-norms where n >= 4 and n mod 2 ≡ 0.

In a similar vein, it seems pretty easy to show that positivity does not hold for any n-norms where n >= 3 and n mod 2 ≡ 1.

If I end up with any free time between now and tomorrow, I may take a stab at those.

[amirsheikholeslami]

For whoever is wondering, the FAMOUS FORMULA on the top right equals to vector of X. Wanted to point this out because its out of the frame.