Eigenvalues and Eigenvectors 38. Let A be an invertible matrix. If V is an eigenvector of A, show it is also an eigenvector of both A2 and A-2. What are the corresponding eigenvalues?

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Chapter2: Second-order Linear Odes
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Eigenvalues and Eigenvectors
38. Let A be an invertible matrix. If V is an eigenvector of A, show it is also an eigenvector
of both A2 and A-2. What are the corresponding eigenvalues?
Transcribed Image Text:Eigenvalues and Eigenvectors 38. Let A be an invertible matrix. If V is an eigenvector of A, show it is also an eigenvector of both A2 and A-2. What are the corresponding eigenvalues?
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