The Interesting
When I first glanced at these two sections, I was a little nervous seeing all of the capital pi nutation, but then the first section made it seem manageable. This entire time reading it though, I just thought to myself, what's stopping his kids from coming and just trying all of the different numbers? They could still totally hack this and it doesn't seem very secure.
I liked that we get to use matrices, they've always been a favorite.
The Challenging
I cannot see why the determinant of the matrix is the product of the difference of the different x values.
If two people tried to break the example with their numbers, why do they get a quadratic polynomial and why does that mean that any secret can still occur?
I don't understand how the Shamir method makes some people more important than others.
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