Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case, decide if the given statement is true or false. If the statement is false, explain why. (a) R is reflexive. (b) R is symmetric. (c) R is transitive.
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Transcribed Image Text:Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case, decide if the given statement is true or false. If the statement is false, explain why. (a) R is reflexive. (b) R is symmetric. (c) R is transitive.
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