In Problems 3133 A represents a 2 x 2 matrix. (a) Show that if A has the

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In Problems 31–33 A represents a 2 x 2 matrix.

(a) Show that if A has the repeated eigenvalue λ with two linearly independent associated eigenvectors, then every nonzero vector v is an eigenvector of A.

(b) Conclude that A must be given by Eq. (22). (In the equation Av = λv take v = [1 0]^T and v = [0 1]^T.)

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Jul 30, 2023 06:41 AM

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In Problems 3133 A represents a 2 x 2 matrix. (a) Show that if A has the

Question:

07 Α λ A=a[& #]=[@ 4] λ (22)

Step by Step Answer:

To prove part a we are given that matrix A has a repeated eigenvalue with two linearly independent a...View the full answer

Differential Equations And Linear Algebra

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