(3) In each item below, verify that - is an equivalence relation on the given set. (c) Let - be a relation defined on Z by a Rb if and only if a' = b3 (mod 4). Determine the distinct equivalence classes determined by this equivalence relation. (Hint: There are only three distinct such congruence classes.)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Verify that ~ is an equivalent relation on the given set.
In each item below, verify that ~ is an equivalence relation on the given set.
(c) Let - be a relation defined on Z by a R b if and only if a³ = b3 (mod 4). Determine the distinct equivalence
classes determined by this equivalence relation. (Hint: There are only three distinct such congruence classes.)
Transcribed Image Text:In each item below, verify that ~ is an equivalence relation on the given set. (c) Let - be a relation defined on Z by a R b if and only if a³ = b3 (mod 4). Determine the distinct equivalence classes determined by this equivalence relation. (Hint: There are only three distinct such congruence classes.)
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