Oops, I forgot to blog for last time. Oh, well. Now, this last reading was great. The most difficult thing for me was probably just checking all the examples to make sure they fulfilled all the axioms. That took a while.
What I found interesting is that the set of all 2 x 2 matrices of the form listed in one of the examples forms a field while the set of 2 x 2 matrices. This makes me wonder what other forms of 2 x 2 matrices farm fields and also how one would form a field with 4 x 4 and 3 x 3 matrices using the standard definitions of matrix addition and multiplication.
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