The arrow diagram below represents a relation. 1 2 3 Figure 1: An arrow diagram shous three vertices, 1, 2, and 3. An arrow from verter 1 points to verter 3, and another arrow from verter 2 points to verter 3. Two self loops are formed, one at verter 1 and another at verter 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) Give the matrix representation for the relation depicted in the arrow dia-
gram. Then, express the relation as a set of ordered pairs.
The arrow diagram below represents a relation.
1
2
3
Figure 1: An arrow diagram shows three vertices, 1, 2, and 3. An arrow
from verter 1 points to verter 3, and another arrow from verter 2 points to
verter 3. Two self loops are formed, one at verter 1 and another at verter
2.
(b) Draw the arrow diagram for the relation.
The domain for the relation A is the set {2, 5, 7, 8, 11}. For r, y in the
domain, rAy if a - y| is less than 2.
Transcribed Image Text:(a) Give the matrix representation for the relation depicted in the arrow dia- gram. Then, express the relation as a set of ordered pairs. The arrow diagram below represents a relation. 1 2 3 Figure 1: An arrow diagram shows three vertices, 1, 2, and 3. An arrow from verter 1 points to verter 3, and another arrow from verter 2 points to verter 3. Two self loops are formed, one at verter 1 and another at verter 2. (b) Draw the arrow diagram for the relation. The domain for the relation A is the set {2, 5, 7, 8, 11}. For r, y in the domain, rAy if a - y| is less than 2.
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