(a) If A is the adjacency matrix of a graph G, show that A is irreducible if...

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(a) If A is the adjacency matrix of a graph G, show that A is irreducible if and only if G is connected. (A graph is connected if there is a path between every pair of vertices.)

(b) Which of the graphs in Section 4.0 have an irreducible adjacency matrix? Which have a primitive adjacency matrix?

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Linear Algebra A Modern Introduction

ISBN: 978-0538735452

3rd edition

Authors: David Poole

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Question Posted: Nov 13, 2018 08:13 AM

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(a) If A is the adjacency matrix of a graph G, show that A is irreducible if...

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a Given a graph G consider a graph G G excluding edges from a vertex to itself Fur...View the full answer

Linear Algebra A Modern Introduction

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