Let S = {0, 1, 2, 4, 6}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity: p = {(0, 1), (1, 2), (0, 2), (2, 0), (2, 1), (1, 0), (0, 0), (1, 1), (2, 2)}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
Question

Let S = {0, 1, 2, 4, 6}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity:

p = {(0, 1), (1, 2), (0, 2), (2, 0), (2, 1), (1, 0), (0, 0), (1, 1), (2, 2)}

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