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"Consider the relations R₁ R₂ R3 R4 R5 on A = {1, 2, 3, 4} defined by R₁ = {(1, 2), (2, 1)} R₂ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)} R3= {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)} R₁ = {(1, 2), (2, 3), (3,4)} R5= {(1, 1), (2, 2), (3, 3), (4,4)} Determine which of the following statements are true. Select all that apply. A. R₂ is not symmetric. B. R3 is not transitive. OC. R₁ is symmetric. D. R₂ is reflexive. E. R₁ is transitive. OF. R3 is reflexive. G. R is transitive. OH. R₁ is reflexive. I. R4 is symmetric. J. R, is not reflexive. K. R₁ is transitive. L. None of the above

"Consider the relations R₁ R₂ R3 R4 R5 on A = {1, 2, 3, 4} defined by R₁ = {(1, 2), (2, 1)} R₂ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)} R3= {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)} R₁ = {(1, 2), (2, 3), (3,4)} R5= {(1, 1), (2, 2), (3, 3), (4,4)} Determine which of the following statements are true. Select all that apply. A. R₂ is not symmetric. B. R3 is not transitive. OC. R₁ is symmetric. D. R₂ is reflexive. E. R₁ is transitive. OF. R3 is reflexive. G. R is transitive. OH. R₁ is reflexive. I. R4 is symmetric. J. R, is not reflexive. K. R₁ is transitive. L. None of the above

Elementary Linear Algebra (MindTap Course List)
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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Discrete math: please provide me 100% solutions
"Consider the relations R₁ R₂ R3 R4 R5 on A = {1, 2, 3, 4} defined by R₁ = {(1, 2), (2, 1)} R₂ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)} R3= {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)} R₁ = {(1,2), (2, 3), (3,4)} R5= {(1, 1), (2, 2), (3, 3), (4,4)} Determine which of the following statements are true. Select all that apply. A. R₂ is not symmetric. B. R3 is not transitive. OC. R₁ is symmetric. D. R₂ is reflexive. E. R₁ is transitive. OF. R3 is reflexive. G. R is transitive. OH. R₁ is reflexive. I. R4 is symmetric. J. R, is not reflexive. K. R₁ is transitive. L. None of the above
Transcribed Image Text:"Consider the relations R₁ R₂ R3 R4 R5 on A = {1, 2, 3, 4} defined by R₁ = {(1, 2), (2, 1)} R₂ = {(2, 2), (2, 3), (2, 4), (3, 2), (3, 3), (3,4)} R3= {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4,4)} R₁ = {(1,2), (2, 3), (3,4)} R5= {(1, 1), (2, 2), (3, 3), (4,4)} Determine which of the following statements are true. Select all that apply. A. R₂ is not symmetric. B. R3 is not transitive. OC. R₁ is symmetric. D. R₂ is reflexive. E. R₁ is transitive. OF. R3 is reflexive. G. R is transitive. OH. R₁ is reflexive. I. R4 is symmetric. J. R, is not reflexive. K. R₁ is transitive. L. None of the above
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