Which of the following is a method for representing relations?

Methods for Representing Relations

Quiz
•
Mathematics
•
University
•
Hard

Vincent Hall
FREE Resource
36 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
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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