For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. -5 1 1 (a) A = Q = (b) A = = 1 -6 2 12 -6 -8 -2 2 -2 -5 5 2 5 -5 D D= 0 0 0 0 0 0 0 0 0 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal.
-5 1
1
1
(a) A =
(b) A =
«EER] ]
=
.
0
[-8
-2
-2 -5
2
-6 2
2 -6
ܣ
71
ܩܝ
ܩ
ܗ
2
5
D=
0
0
܂
--[888] -1898)
Transcribed Image Text:For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. -5 1 1 1 (a) A = (b) A = «EER] ] = . 0 [-8 -2 -2 -5 2 -6 2 2 -6 ܣ 71 ܩܝ ܩ ܗ 2 5 D= 0 0 ܂ --[888] -1898)
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