Show that the relation R on a set A is symmetric if and only if R = R-, where R is the inverse relation, i.e. R-1 {(b, a) E A? : (a, b) E R}.
Show that the relation R on a set A is symmetric if and only if R = R-, where R is the inverse relation, i.e. R-1 {(b, a) E A? : (a, b) E R}.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...
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