1. Suppose R = {(1,1), (1, 4), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 1), (4,2), (4, 4)} be a relation from A = {1, 2, 3, 4} to itself. You must show that the property holds or give a counterexample a) Is R reflexive, irreflexive, or neither? c) Is R transitive? b) Is R symmetric, antisymmetric, or neither? d) Draw a graph of R.
1. Suppose R = {(1,1), (1, 4), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 1), (4,2), (4, 4)} be a relation from A = {1, 2, 3, 4} to itself. You must show that the property holds or give a counterexample a) Is R reflexive, irreflexive, or neither? c) Is R transitive? b) Is R symmetric, antisymmetric, or neither? d) Draw a graph of R.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 4CM: Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4,...
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