(a) A = Q = -1 -1 " -1 S D= 10 S T +

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.2: The Algebra Of Matrices
Problem 4E
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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.
-3 -1 -1
(a) A =
-1 4
-6
1 -6 4
-1
-1
10
19881
Q =
4
-6
D =
0
-6
4
0
-1
0
0
-4
0
0
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 -1 10 19881 Q = 4 -6 D = 0 -6 4 0 -1 0 0 -4 0 0
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