Question 34. Let A be a symmetric matrix. Suppose that u and v are two eigenvectors of A carresponding to distinct eigenvalues of A. Then u + v|2 = u||2 + ||v|2. True False

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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Question 34.
Let A be a symmetric matrix. Suppose that u and v are two eigenvectors of A
carresponding to distinct eigenvalues of A. Then u + v|2 = u||2 + ||v|2.
True
False
Transcribed Image Text:Question 34. Let A be a symmetric matrix. Suppose that u and v are two eigenvectors of A carresponding to distinct eigenvalues of A. Then u + v|2 = u||2 + ||v|2. True False
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