In each case below, a relation on the set {1, 2, 3} is given. Of the three properties, reflexivity, symmetry, and transitivity, determine which ones the relation has. Give reasons. (a) R = {(1, 3), (3, 1), (2, 2)} (b) R = {(1, 1), (2, 2), (3, 3). (1, 2)} (c) R=Ø

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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In each case below, a relation on the set {1, 2, 3} is given. Of the three properties, reflexivity,
symmetry, and transitivity, determine which ones the relation has. Give reasons.
(a) R = {(1, 3), (3, 1). (2, 2)}
(b) R = {(1, 1), (2, 2), (3, 3). (1, 2)}
(c) R=Ø
Transcribed Image Text:In each case below, a relation on the set {1, 2, 3} is given. Of the three properties, reflexivity, symmetry, and transitivity, determine which ones the relation has. Give reasons. (a) R = {(1, 3), (3, 1). (2, 2)} (b) R = {(1, 1), (2, 2), (3, 3). (1, 2)} (c) R=Ø
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