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Prove or disprove: 1. If R and S are reflective on A, then S • R is reflective on A. 2. If R and S are symmetric, then S • R is symmetric. 3. If R and S are antisymmetric, then S • R is antisymmetric. 4. If R and S are transitive, then S • R is transitive.

Prove or disprove: 1. If R and S are reflective on A, then S • R is reflective on A. 2. If R and S are symmetric, then S • R is symmetric. 3. If R and S are antisymmetric, then S • R is antisymmetric. 4. If R and S are transitive, then S • R is transitive.

Advanced Engineering Mathematics
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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Prove or disprove.

Prove or disprove: 1. If R and S are reflective on A, then S R is reflective on A. 2. If R and S are symmetric, then S • R is symmetric. 3. If R and S are antisymmetric, then S • R is antisymmetric. 4. If R and S are transitive, then S • R is transitive.
Transcribed Image Text:Prove or disprove: 1. If R and S are reflective on A, then S R is reflective on A. 2. If R and S are symmetric, then S • R is symmetric. 3. If R and S are antisymmetric, then S • R is antisymmetric. 4. If R and S are transitive, then S • R is transitive.
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