V1 V3 V2 V4 a) Find the adjacency matrix A for the directed graph shown. b) Compute A³. What do the entries in A³ represent?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 69EQ
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Then consider the following directed graph, and answer the questions that follow.
V3
V1
V2
V4
a) Find the adjacency matrix A for the directed graph shown.
b) Compute A³.
c) What do the entries in A³
represent?
d) List all possible paths of length 3 from v₁ → v3, V3 ⇒ v2 and v4 → V2.
Transcribed Image Text:Then consider the following directed graph, and answer the questions that follow. V3 V1 V2 V4 a) Find the adjacency matrix A for the directed graph shown. b) Compute A³. c) What do the entries in A³ represent? d) List all possible paths of length 3 from v₁ → v3, V3 ⇒ v2 and v4 → V2.
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