) Write a proof of the following statement: If λ is an eigenvalue of a real square matrix A, it lso an eigenvalue of the matrix AT. Give a proof of all statements you make.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 79E
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1) Write a proof of the following statement: If λ is an eigenvalue of a real square matrix A, it is
also an eigenvalue of the matrix AT. Give a proof of all statements you make.
Transcribed Image Text:1) Write a proof of the following statement: If λ is an eigenvalue of a real square matrix A, it is also an eigenvalue of the matrix AT. Give a proof of all statements you make.
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