For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal. =1 (a) A-1 7 -1 -11 0 (b) A Q= 6 -2 N D= D= 0 0 0 0 0 0 0 0 0 0 0 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section: Chapter Questions
Problem 2RQ
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For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal.
(a) A-1 7
-1 -11
(b) A
Q=
6
-2
N
D=
D=
0
0
0
0
0
0
0 0
0
0 0
0
Transcribed Image Text:For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal. (a) A-1 7 -1 -11 (b) A Q= 6 -2 N D= D= 0 0 0 0 0 0 0 0 0 0 0 0
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