5. Let A = {1, 2, 3, 5, 6, 10, 15, 30) and define R on A by Ry if and only if a divides y. a. Show that (A, R) is a poset. b. Draw the Hasse diagram of the poset. c. Find any maximal and minimal element/s. d. Find any greatest or least element/s. e. Find glb({6, 10, 15}) if it exists. f. Find lub({2, 3, 6)) if it exists. (

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A: Topic:- matrix

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A: As per guidelines, I can answer only one question.

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A: We use Hasse diagram and use definition of supremum and infimum.

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A: See the attachment.

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A: See the attachment

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