For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. -3 -1 -17 (a) A = -1 4 -6 -1 -6 4 0 -1 2 10 Q= D = -1 1 1 1 1 1 0 0 -1 0 0 -4 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 14E
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Chapter 8.1 Question 10

For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal.
[-3 -1 -17
(a) A =
1
4 -6
-6
4
−1
2
10
14":
Q =
1
1
D =
0
1
1
-1
0
-1
T
-1
0
+
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 -17 (a) A = 1 4 -6 -6 4 −1 2 10 14": Q = 1 1 D = 0 1 1 -1 0 -1 T -1 0 + 0 0
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