Download presentation

Presentation is loading. Please wait.

Published byWayne Lamport Modified over 2 years ago

1
8.3 Representing Relations

2
Consider the following relations on A={1,2,3,4} Consider the matrixM R1 = | 1 1 0 1 | | 0 1 0 0 | | 1 1 1 0 | | 0 1 1 1 | Express as ordered pairs: Which characteristics does R1 have: RSAT?

3
Express in other formats Consider the matrixM R1 = | 1 1 0 1 | | 0 1 0 0 | | 1 1 1 0 | | 0 1 1 1 | Express R1 in the following formats: Graphical

4
…other formats Consider the matrixM R1 = | 1 1 0 1 | | 0 1 0 0 | | 1 1 1 0 | | 0 1 1 1 | Digraph (directed graphs)

5
Determine whether the following are RSA: M R2 = |1 1 1 0 | M R3 = |1 1 1 0 | M R4 = |1 1 0 1 | |1 1 0 0 ||1 1 0 0 || 0 1 0 0 | |0 0 0 1||1 0 0 0 ||1 0 1 0 | |1 0 1 1 ||0 0 0 0 ||0 1 0 1 | R S A R S A R S A T will be in a later section

6
Find General Forms for Each Property Reflexive Symmetric Anti-symmetric

7
Challenge: Can you find a matrix that is both symmetric and anti-symmetric? Neither?

8
Review 0-1 matrices from sec 3.8

9
Matrices– M R5 R6 = M R5 v M R6 Consider the matrices: M R5 = and M R6 = Find M R R6 = M R5 v M R6

10
Find M R5∩R6 = M R5 ^ M R6 Consider the matrices: M R5 = and M R6 = Find M R5∩R6 = M R5 ^ M R6

11
Find M R6°R5 = M R5 M R6 (note order) note: the Boolean symbol has a dot in a circle Consider the matrices: M R5 = and M R6 = Find M R6 °R5 = M R5 M R6 (note order)

12
More ex Consider M R1 and M R7 = |0 0 0 1| |0 0 1 0 | |0 1 0 0 | |1 0 1 1 | Find M R1 R7 Find M R1∩R7

13
More ex Consider M R1 and M R7 = |0 0 0 1| |0 0 1 0 | |0 1 0 0 | |1 0 1 1 | Find M R7 ο R1 = M R1 M R7

14
Do Digraph worksheet

15
Determine what properties we would see in a digraph that is: Reflexive Symmetric Anti-symmetric Transitive

Similar presentations

OK

8.3 Representing Relations Connection Matrices Let R be a relation from A = {a 1, a 2,..., a m } to B = {b 1, b 2,..., b n }. Definition: A n m n connection.

8.3 Representing Relations Connection Matrices Let R be a relation from A = {a 1, a 2,..., a m } to B = {b 1, b 2,..., b n }. Definition: A n m n connection.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on chemical reactions and equations class 10 free download Free ppt on brain machine interface berkeley Presentation ppt on motivation Ppt on new technology free download Ppt on non ferrous minerals technologies Ppt on care of public property auction Ppt on internal structure of cpu Ppt on aircraft emergencies Ppt on revolution of the earth and seasons quiz Ppt on application of linear algebra in computer graphics