[1 Let A 3 (b) Find (i) an orthogonal basis for R2 consisting of eigenvectors of A. (ii) an orthogonal matrix P and a diagonal matrix D such that A = PDI

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 29EQ
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(b)
Let A =
3
Find
(i)
an orthogonal basis for R? consisting of eigenvectors of A.
(ii)
an orthogonal matrix P and a diagonal matrix D such that A = PDP".
Transcribed Image Text:(b) Let A = 3 Find (i) an orthogonal basis for R? consisting of eigenvectors of A. (ii) an orthogonal matrix P and a diagonal matrix D such that A = PDP".
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