Question: Provide the proofs for Theorem 7.2(a), and (b). Theorem 7.2 Given a set A with |A| = n and a relation R on A, let

Provide the proofs for Theorem 7.2(a), and (b).
Theorem 7.2
Given a set A with |A| = n and a relation R on A, let M denote the relation matrix for R. Then
(a) R is reflexive if and only if In ≤ M.
(b) R is symmetric if and only if M = Mtr.

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