Discrete mathematics Let A be a non-empty set. Recall that the identity relation on A is the set:IA = {(a, b) = A² | a = b}.Let S be any relation on the set A. Prove that S-1nSCIA iff S is antisymmetric.

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Answered: Let A be a non-empty set. Recall that…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

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Chapter2: Second-order Linear Odes

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Let A be a non-empty set. Recall that the identity relation on A is the set: IA = {(a, b) = A² | a = b}. Let S be any relation on the set A. Prove that S-¹nSCIA iff S is antisymmetric.