16. Prove: If A is an eigenvalue of A and x is a corresponding eigenvector, then s) is an eigenvalue of for every scalar s and x is a corresponding eigenvector.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 9EQ: In Exercises 7-12, show that is an eigenvector of A and find one eigenvector corresponding to this...
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16. Prove: If A is an eigenvalue of A and x is a corresponding eigenvector, then s) is an
eigenvalue of for every scalar s and x is a corresponding eigenvector.
hp
Aagi
Enter
Transcribed Image Text:16. Prove: If A is an eigenvalue of A and x is a corresponding eigenvector, then s) is an eigenvalue of for every scalar s and x is a corresponding eigenvector. hp Aagi Enter
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