The following matrix is the adjacency matrix corresponding to a directed graph. Determine if the following statements are true or false. If true, type T if false, type F. ABCDE A 0 1 1 0 0 1 0 0 1 0 B clo 0 0 1 1 D]0 0 0 0 1 E 0 1 0 0 0 a. Vertex A is reachable from vertex B. b. Vertex C is reachable from vertex B. c. Vertex B is reachable from vertex C. d. Vertex C is not reachable from vertex D.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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QUESTION 14
The following matrix is the adjacency matrix corresponding to a directed graph. Determine if the following statements are true or false. If true, type T;
if false, type F.
A B C D E
А ГО 1 1 0 0
B 1 0 0
1 0
C 0
0011
D
E
0 0 0 0
1
0 1 0 0 0
a. Vertex A is reachable from vertex B.
b. Vertex C is reachable from vertex B.
c. Vertex B is reachable from vertex C.
d. Vertex C is not reachable from vertex D.
Transcribed Image Text:QUESTION 14 The following matrix is the adjacency matrix corresponding to a directed graph. Determine if the following statements are true or false. If true, type T; if false, type F. A B C D E А ГО 1 1 0 0 B 1 0 0 1 0 C 0 0011 D E 0 0 0 0 1 0 1 0 0 0 a. Vertex A is reachable from vertex B. b. Vertex C is reachable from vertex B. c. Vertex B is reachable from vertex C. d. Vertex C is not reachable from vertex D.
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