What is the definition of the eigenvalues λλ of a matrix AA? (II refers to the identity matrix.) 1.The roots of det(λA+I) 2.The roots of det(A−λI) 3.The roots of det(λA−I) 4.The roots of det(A+λI)

What is the definition of the eigenvalues λλ of a matrix AA? (II refers to the identity matrix.) 1.The roots of det(λA+I) 2.The roots of det(A−λI) 3.The roots of det(λA−I) 4.The roots of det(A+λI)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.6: The Algebra Of Matrices

Problem 13E

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Question

What is the definition of the eigenvalues λλ of a matrix AA? (II refers to the identity matrix.)

1.The roots of det(λA+I)

2.The roots of det(A−λI)

3.The roots of det(λA−I)

4.The roots of det(A+λI)

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