Give the matrix representation for the relation depicted in the arrow diagram. Then, express the relation as a set of ordered pairs The arrow diagram below represents a relation. \| \fbox{ \includegraphics[width=2in]{M5-fig1} }\\\\ {\color{blue}{\bf Figure 1:} \emph{An arrow diagram shows three vertices, 1, 2, and 3. An arrow from vertex 1 points to vertex 3, and another arow from vertex 2 points to vertex 3. Two self loops are formed, one at vertex 1 and another at vertex 2.

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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**Problem 3**

Give the matrix representation for the relation depicted in the arrow diagram. Then, express the relation as a set of ordered pairs.

The arrow diagram below represents a relation.

\[
\ibox{
\includegraphics[width=2in]{M5-fig1}
}
\]

{\color{blue}{\bf Figure 1:} \emph{An arrow diagram shows three vertices, 1, 2, and 3. An arrow from vertex 1 points to vertex 3, and another arrow from vertex 2 points to vertex 3. Two self loops are formed, one at vertex 1 and another at vertex 2.
}
}

%Enter your answer below this comment line.

%For more information on creating matrices in LaTeX, see this week's module resources.

\[
\]

\item Draw the arrow diagram for the relation.

The domain for the relation \(A\) is the set \(\{2, 5, 7, 8, 11\}\). For \(x, y\) in the domain, \(xAy\) if \(|x - y|\) is less than 2.

%Enter your answer below this comment line.

%To answer this question, you may hand-draw your solution or use a program like PowerPoint or Lucidchart.

%Take a photo or screenshot, then upload your file to this project. Note that the image you submit must be legible to your instructor.

%You will see your file name appear in the file tree. Change the "YOURFILENAMEHERE" text in the includegraphics command below. It should match the name of your uploaded file.

\includegraphics[width=2in]{YOURFILENAMEHERE}

\end{enumerate}
Transcribed Image Text:**Problem 3** Give the matrix representation for the relation depicted in the arrow diagram. Then, express the relation as a set of ordered pairs. The arrow diagram below represents a relation. \[ \ibox{ \includegraphics[width=2in]{M5-fig1} } \] {\color{blue}{\bf Figure 1:} \emph{An arrow diagram shows three vertices, 1, 2, and 3. An arrow from vertex 1 points to vertex 3, and another arrow from vertex 2 points to vertex 3. Two self loops are formed, one at vertex 1 and another at vertex 2. } } %Enter your answer below this comment line. %For more information on creating matrices in LaTeX, see this week's module resources. \[ \] \item Draw the arrow diagram for the relation. The domain for the relation \(A\) is the set \(\{2, 5, 7, 8, 11\}\). For \(x, y\) in the domain, \(xAy\) if \(|x - y|\) is less than 2. %Enter your answer below this comment line. %To answer this question, you may hand-draw your solution or use a program like PowerPoint or Lucidchart. %Take a photo or screenshot, then upload your file to this project. Note that the image you submit must be legible to your instructor. %You will see your file name appear in the file tree. Change the "YOURFILENAMEHERE" text in the includegraphics command below. It should match the name of your uploaded file. \includegraphics[width=2in]{YOURFILENAMEHERE} \end{enumerate}
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