4. Consider the relations R = {(1,2), (2, 3), (3, 1)} and S= {(2,1), (3, 2), (1,3)} on the set A = {1,2, 3}. a) Show that R is not an equivalence relation. b) Show that S is not an equivalence relation. c) Find the zero-one matrix representations Mg and Ms for R and S respectively.
4. Consider the relations R = {(1,2), (2, 3), (3, 1)} and S= {(2,1), (3, 2), (1,3)} on the set A = {1,2, 3}. a) Show that R is not an equivalence relation. b) Show that S is not an equivalence relation. c) Find the zero-one matrix representations Mg and Ms for R and S respectively.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 37EQ
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