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Which are the true statements about the relation R that shown by the matrix below 1 0 0 0 1 1 0 0 M = 1 1 1 0 1 1 1 1 I. Ris antisymmetric. II. Ris reflexive. III. R is transitive. IV. R is a relation on S by (a, b) e R if and only if a > b where S= {1,2,3,4}. A. I and II B. II and IV C. I, II and III D. I, II, III and IV. E. None of the given.

Which are the true statements about the relation R that shown by the matrix below 1 0 0 0 1 1 0 0 M = 1 1 1 0 1 1 1 1 I. Ris antisymmetric. II. Ris reflexive. III. R is transitive. IV. R is a relation on S by (a, b) e R if and only if a > b where S= {1,2,3,4}. A. I and II B. II and IV C. I, II and III D. I, II, III and IV. E. None of the given.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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Which are the true statements about the relation R that shown by the matrix below? [1 0 0 0 1 10 0 M = 1 1 10 1 1 1 1 I. Ris antisymmetric. II. R is reflexive. III. R is transitive. IV. R is a relation on S by (a, b) e R if and only if a > b where S = {1,2,3,4}. A. I and II B. II and IV C. I, II and III D. I, II, III and IV. E. None of the given. A C O E
Transcribed Image Text:Which are the true statements about the relation R that shown by the matrix below? [1 0 0 0 1 10 0 M = 1 1 10 1 1 1 1 I. Ris antisymmetric. II. R is reflexive. III. R is transitive. IV. R is a relation on S by (a, b) e R if and only if a > b where S = {1,2,3,4}. A. I and II B. II and IV C. I, II and III D. I, II, III and IV. E. None of the given. A C O E
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