{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MAS111_09_assignment_10 - MAS 111 FOUNDATION OF MATHEMATICS...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAS 111 FOUNDATION OF MATHEMATICS ASSIGNMENT 10 TUTORIAL DATES: 26, 27, 28/10/2009 1. Here are some relations on a set A = { 1 , 2 , 3 , 4 , 5 } . Determine for each relation whether it is reflexive, whether it is transitive, whether is it antisymmetric. Draw the directed graph that represents each relation. (a) R = { (1 , 1) , (2 , 2) , (2 , 3) , (3 , 2) , (3 , 3) , (3 , 4) , (4 , 3) , (4 , 4) , (5 , 5) } . (b) S = { (1 , 1) , (1 , 2) , (1 , 4) , (1 , 5) , (2 , 2) , (2 , 4) , (2 , 5) , (3 , 3) , (3 , 4) , (3 , 5) , (4 , 4) , (4 , 5) , (5 , 5) } . (c) T = { (1 , 3) , (1 , 5) , (2 , 4) , (3 , 1) , (3 , 5) , (4 , 2) , (5 , 1) , (5 , 3) } . (d) U = { (1 , 1) , (1 , 3) , (1 , 5) , (2 , 2) , (2 , 4) , (3 , 1) , (3 , 3) , (3 , 5) , (4 , 2) , (4 , 4) , (5 , 1) , (5 , 3) , (5 , 5) } . 2. (a) Which (if any) of the relations in question 1 are partial orders on the set A ? In each such case draw the Hasse diagram of the partial order....
View Full Document

  • Spring '10
  • DrChanSongHeng
  • Order theory, Equivalence relation, Transitive relation, relation, Partially ordered set, partial order

{[ snackBarMessage ]}

Page1 / 3

MAS111_09_assignment_10 - MAS 111 FOUNDATION OF MATHEMATICS...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online