Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 31EQ
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Question
Let A be a non-singular n × n matrix and let λ be an eigenvalue of A
(a) Show that λ ̸= 0.
(b) Show that 1/λ is an eigenvalue of A^−1 .
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