A and B are N×N matrices with eigenvalues αα and β, respectively. Under what condition/s will the eigenvalue of AB be αβ? Select all correct conditions. Select one or more: a. If A and B are normal matrices. b. No conditions other than A and B have the same dimensions. c. If A and B are diagonal. d. If A and B commute. e. If A and B are both square matrices. f. If A and B share the same eigenvector.

A and B are N×N matrices with eigenvalues αα and β, respectively. Under what condition/s will the eigenvalue of AB be αβ? Select all correct conditions. Select one or more: a. If A and B are normal matrices. b. No conditions other than A and B have the same dimensions. c. If A and B are diagonal. d. If A and B commute. e. If A and B are both square matrices. f. If A and B share the same eigenvector.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 24EQ

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