1) I guess I still don't fully understand what it means to just write one congruence into a system of congruences mod factors of n. If this system of congruences is not like an addition of the two congruences, how do they relate to one another. It is a pretty cool idea.
2) I love to see all the different things that we can do modulo. I also think it's cool to see the cross between linear algebra and this class. I think overtime we see the material cross over between subjects, it just makes it that much more meaningful and applicable.
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