Methods for Representing Relations

Methods for Representing Relations

University

36 Qs

quiz-placeholder

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Methods for Representing Relations

Methods for Representing Relations

Assessment

Quiz

Mathematics

University

Hard

Created by

Vincent Hall

FREE Resource

36 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which of the following is a method for representing relations?

Using Graphs

Using Matrices

Using Equations

Using Tables

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is another method for representing relations besides using matrices?

Using Graphs

Using Digraphs

Using Equations

Using Tables

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

How can a relation between finite sets be represented?

Using a zero-one matrix

Using a graph

Using a list

Using a tree

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What does the entry $ m_{ij} $ in the matrix $ M_R $ represent when $ a_i $ is related to $ b_j $?

1

0

-1

2

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the value of $ m_{ij} $ if $ (a_i, b_j) \notin R $?

0

1

-1

2

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Suppose that A = {1,2,3} and B = {1,2}. Let R be the relation from A to B containing (a,b) if a ∈ A, b ∈ B, and a > b. What is the matrix representing R (assuming the ordering of elements is the same as the increasing numerical order)?

\(\begin{bmatrix} 0 & 0 \\ 1 & 0 \\ 1 & 1 \end{bmatrix}\)

\(\begin{bmatrix} 1 & 0 \\ 0 & 1 \\ 0 & 0 \end{bmatrix}\)

\(\begin{bmatrix} 0 & 1 \\ 1 & 0 \\ 0 & 1 \end{bmatrix}\)

\(\begin{bmatrix} 1 & 1 \\ 0 & 0 \\ 1 & 0 \end{bmatrix}\)

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What condition must be met for a relation \( R \) to be reflexive?

All elements on the main diagonal of \( M_R \) are equal to 1.

All elements on the main diagonal of \( M_R \) are equal to 0.

All elements off the main diagonal of \( M_R \) are equal to 1.

All elements off the main diagonal of \( M_R \) are equal to 0.

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