For each of the following, factor the matrix A into a product QDQT where Q is orthogonal and D is diagonal. (a) A = (b) A = 5 -1 [-6 -1 -1 2 4 4 2 2 2 -4 4 -2 4 D= 0 0 0 -1888) -8:0 D =

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Subject: algebra 

For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal.
5
(a) A = -1
-1
(b) A =
=
−1 -1]
4
2
24
-6 2 -27
2 -4
4
-2 4
D=
D =
0
0
0
0
0
0
0
0
Transcribed Image Text:For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal. 5 (a) A = -1 -1 (b) A = = −1 -1] 4 2 24 -6 2 -27 2 -4 4 -2 4 D= D = 0 0 0 0 0 0 0 0
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