For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal. [5 1 1 8 (a) A = |1 -4 1 8 [588] .[?9] D -8 -2 (b) A = | –2 2 ܟܬ -5 5 200 ܩ -5 D 0 0 0 0 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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.
[5 1
1
1 -4 8
1
8
(a) A =
(b) A =
-8
∞
2 4 50
2
-2
-2 -5
ܬ ܗ ܕ
5
-5
D =
0
B
0
-688 - 8:3
D=
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. [5 1 1 1 -4 8 1 8 (a) A = (b) A = -8 ∞ 2 4 50 2 -2 -2 -5 ܬ ܗ ܕ 5 -5 D = 0 B 0 -688 - 8:3 D= 0 0 0
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