For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal. -3 -1° (a) A =-1 4 -6 -1 4 -1 2 10 Q = -1 1 1 D= -1 1 1 1 -4 -4 2 -27 (b) A = 2 -1 1 -2 1 -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Chapter 8.1 Question 10

For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal.
-3
-1
-1
(a) A =
-1
4
-6
-1
-6
4
-1
2
10
Q =
-1
1
1
D=
-1
1
1
1
-4
-4
2
-27
(b) A = 2
-1
1
-2
1
-1
-1
-6
Q =
-1
1
1
D =
1
1
1
* マ
Transcribed Image Text:For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal. -3 -1 -1 (a) A = -1 4 -6 -1 -6 4 -1 2 10 Q = -1 1 1 D= -1 1 1 1 -4 -4 2 -27 (b) A = 2 -1 1 -2 1 -1 -1 -6 Q = -1 1 1 D = 1 1 1 * マ
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