...I professionally tutored high school students for two years. Most of that tutoring was to help students prepare for and improve their SAT scores in the SAT Math section. I have also helped students prepare for the SAT Level I & II Math Subject tests. (read more)
...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. Suppose that R on A is antisymmetric. (read more)