...Thus, by definition of antisymmetric, R on A is antisymmetric. Therefore, if R n R-1 ? {(a, a): a ? A}, R on A is antisymmetric. It will now be shown that if R on A is antisymmetric, R n R-1 ? {(a, a): a ? A}. Let m, n ? A. (read more)
I started tutoring mathematics when I was in college. The tutoring experience shifted my career goal to become a teacher. I taught middle and high school mathematics for 5 years and decided to pursue a graduate degree. (read more)