...I have a B.S. in Systems Engineering (focusing primarily on electrical control systems) from the U.S. Naval Academy. I earned A's in each of my Electrical Engineering courses. (read more)
...Since by definition of antisymmetric, (mRn ? nRm) implies m = n, then m = n. Notice that m and n are equal elements of A, and that (m, n) ? (R n R-1). Therefore, ? (m, n) ? (R n R-1), (m, n) ? {(a, a): a ? A}. Thus, by definition of subset, (R n R-1) ? {(a, a): a ? A}. Therefore, if R on A is... (read more)