...Because (m, n) ? R-1, (n, m) ? R. Therefore, (m, n) ? R and (n, m) ? R. Since by definition of antisymmetric, (mRn ? nRm) implies m = n, then m = n. (read more)
...Naval Academy, and a Master of Education degree from Norwich University. I achieved perfect math scores of 800 on both the SAT and the GRE. I have tutored many students, especially in NY high school Regents math and science courses, as well as college calculus and calculus-based physics, and I truly enjoy sharing my methods of understanding these subjects with others. (read more)