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For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal. 1 (a) A Q: = = 00 -1888) -(888) D = (b) A = = -1 -1] -3 5 5 -3 8 -2 2 -2 5 -5 2 -5 5 D = 0 00 00

For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal. 1 (a) A Q: = = 00 -1888) -(888) D = (b) A = = -1 -1] -3 5 5 -3 8 -2 2 -2 5 -5 2 -5 5 D = 0 00 00

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal. 1 (a) A = = Q || Q (b) A = = -1 00 [BBB] - BSA D = 0 0 0 0 -1 -11 -3 5 5 -3 8 -2 2 2 -2 5 -5 -5 5 D= 0 00 00 0
Transcribed Image Text:For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal. 1 (a) A = = Q || Q (b) A = = -1 00 [BBB] - BSA D = 0 0 0 0 -1 -11 -3 5 5 -3 8 -2 2 2 -2 5 -5 -5 5 D= 0 00 00 0
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