For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. T-3 -1 -1 (a) A = -1 4 -6 -1 -6 4 Q = D = -4 2 (b) А — 2 -1 1 -2 1 -1 Q = D =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal.
1
1
D =
1
D =
Transcribed Image Text:factor the matrix A into a product QDQ" where Q is orthogonal and D is diagonal. 1 1 D = 1 D =
For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal.
-3
-1
–1
(a) A =
1
4
-6
1
-6
4
1
D =
L
-4
(b) А —
-1
-2
1
1
D =
L
2.
Transcribed Image Text:For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. -3 -1 –1 (a) A = 1 4 -6 1 -6 4 1 D = L -4 (b) А — -1 -2 1 1 D = L 2.
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