#8. If A b an cigenvalue of a nonsingular matrix A, then show that ఇధా A . is an eigenvalue of the inverse +9.11 Xb an eigenvalse of a matrix A, tben show that an dgenalue of the transpose matrix A

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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#8. If A b an cigenvalue of a nonsingular matrix A, then show that
ఇధా A .
is an eigenvalue of the inverse
+9.11 Xb an eigenvalse of a matrix A, tben show that an dgenalue of the transpose matrix A
Transcribed Image Text:#8. If A b an cigenvalue of a nonsingular matrix A, then show that ఇధా A . is an eigenvalue of the inverse +9.11 Xb an eigenvalse of a matrix A, tben show that an dgenalue of the transpose matrix A
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