3.1 Part 2, due on Friday, January 20

1. (Difficult) "What was the most difficult part of the material for you?"
The most difficult part of the material was knowing HOW to prove that all the axioms are true for something to be a subring. Most of the examples said this is, this isn't and because of what axiom is false. But nothing took you through the process of figuring out how to prove which axioms are true and false. I have a hard time coming up with proofs on my own and knowing if they are efficient or not, so that is the hardest part of this reading for me.

2. (Reflective) Write something reflective about the reading. This could be the answer to the question "What was the most interesting part of the material?" or "How does this material connect to something else you have learned in mathematics?" or "How is this material useful/relevant to your intellectual or career interests?" or something else.
The most interesting part of this reading is how matrices are being used a rings and subrings. It is connecting to what I learned about matrices in linear algebra. I kind of thought I was not going to see matrices again, so this is interesting -- using them to learn and think about rings and subrings.