4th Edition

ISBN: 9781285463247

Author: David Poole

Publisher: Cengage Learning

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Textbook Question

Chapter 4.3, Problem 3EQ

In Exercises 1-12, compute (a) the characteristic polynomial of A, (b) the eigenvalues of A, (c) a basis for each eigenspace of A, and (d) the algebraic and geometric multiplicity of each eigenvalue.

A = [ 1 1 0 0 − 2 1 0 0 3 ]

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Chapter 4.3, Problem 2EQ

Chapter 4.3, Problem 4EQ

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Chapter 4 Solutions

Linear Algebra: A Modern Introduction

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In Exercises 1-12, compute (a) the characteristic polynomial of A, (b) the eigenvalues of A, (c) a basis for each eigenspace of A, and (d) the algebraic and geometric multiplicity of each eigenvalue. A = [ 1 1 0 0 − 2 1 0 0 3 ]

Solution Summary: The author explains how to find the characteristic polynomial of the matrix A. The eigenvalues of A are given by det(A-lambda I)=

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Chapter 4 Solutions