A) Let A = {1,2, 3, 4} and R a relations on A whose matricesГ1 1 1 1]1 1 1is MR =0 01 10 0 0 11) Show that (A, R) is a poset2) Find maximal, minimal, least and greatest if they existB) Find the root and the height of (T, vo) whereА 3 {1,2, 3, 4, 5}and T = {(1,4), (2, 3), (3, 1), (4, 5)} (Show your work)pts)C) Evaluate the expression which is given in pre-order notation(4 pts)– × 35 ÷ +37 + 41

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Answered: A) Let A = {1,2, 3, 4} and R a…

A) Let A = {1,2, 3, 4} and R a relations on A whose matrices [1 1 1 1] 0 1 1 1 is MR = %3D 0 011 [o 0 0 1] 1) Show that (A, R) is a poset 2) Find maximal, minimal, least and greatest if they exist

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A) Let A = {1,2, 3, 4} and R a relations on A whose matrices
Г1 1 1 1]
1 1 1
is MR =
0 0
1 1
0 0 0 1
1) Show that (A, R) is a poset
2) Find maximal, minimal, least and greatest if they exist
B) Find the root and the height of (T, vo) where
А 3 {1,2, 3, 4, 5}
and T = {(1,4), (2, 3), (3, 1), (4, 5)} (Show your work)
pts)
C) Evaluate the expression which is given in pre-order notation
(4 pts)
– × 35 ÷ +37 + 41

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