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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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