(d) Prove that if A does not have any real eigenvalues, then A is similar to a matrix of the form AQ where Q is an orthogonal matrix and A > 0.
(d) Prove that if A does not have any real eigenvalues, then A is similar to a matrix of the form AQ where Q is an orthogonal matrix and A > 0.
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 27EQ
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